For instance, take 8 and 12, the gcd of these two numbers or the hcf of two numbers will be 4. M quiz questions with answers as pdf files and ebooks. M and improve your skills in order to face the interview, competitive examination and various entrance test cat, gate, gre, mat, bank exam, railway exam etc. Hcf and lcm based problems and equations, formulas. For hcf of two numbers matha, bmath that are roughly the same size. But at your age, it is easy enough to grasp these concepts. Simplification techniques and tricks pdf bankexamstoday. A number may be made by multiplying two or more other numbers together. Prime factorisation method for finding the hcf part 1 duration. F least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers.
Lcm and hcf shortcuts gr8ambitionz prepare for ibps po x. Hcf and lcm problems or questions with solutions, covered for all competitive exams like bank po, clerk, interviews and quizzes. There are two types of question usually asked in the examination based on h. While calculating lcm, find the highest exponent for each prime factor among the numbers.
Problems on lcm and hcf aptitude questions and answers. Mar 04, 2018 first express the fractions in their lowest terms. Aptitude on hcf and lcm for bank jobs, government jobs, private jobs. Let n1, and n2 be two natural numbers distinct from each other. In part ii, tnpsc previous year solved questions and lcm and hcf test questions will be posted. Lcm and hcf problems are very important part of all competitive exams.
Lcm least common multiple the lcm is the least number which is exactly divisible by each one of the given numbers. Lcm hcf problems pdf download with solutions, complete quantitative and aptitude pdf notes for all competitive exams. Lcm and hcf shortcut tricks page 2 lcm and hcf important questions page 3 lcm and hcf video lecture page 4. If number p divided another number q exactly, we say that p is a factor of q. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests. Pencil, pen, ruler, protractor, pair of compasses and eraser. Lcm is known as smallest common multiple or lowest common multiple or least common multiple of given numbers. A common factor of two or more given numbers is a number which divides each given number completely. The hcf of two or more numbers is the greatest number which.
In this section, we will learn the shortcut to find hcf and lcm. This post contain hcf and lcm questions, lcm and hcf problems, highest common factor calculator, hcf and lcm worksheets, lcm and hcf short tricks, how to find hcf quickly, hcf lcm math, lcm and hcf pdf, hello dear followers, in this post we are going to share an important pdf on hcf and lcm questions, lcm and hcf short tricks, which is very. Hcf and lcm formula shortcut tricks with examples to. Candidates can take the problems on lcm and hcf aptitude quiz from this article. The least or smallest common multiple of any two or more given natural numbers are termed as lcm. Due to some limitations in web options, math symbols, notations were unable to view properly. The product of two numbers is equal to the product of their hcf and lcm. Dear readers, we provide you lcm and hcf questions pdf ssc chsl you all know that speed in calculation sets the complete base for quantitative aptitude section lcm and hcf questions pdf ssc chsl of various competitive exams. Mar 25, 2019 aptitude model questions pdf on hcf and lcm. Lcm concept and shortcut methods lcm is known as smallest common multiple or lowest common multiple or least common multiple of given numbers. Hcf and lcm are one of the common terms in mathematics.
Find the lcm of 8,9,12,15 that leaves same remainder 1 in each the. Two numbers are said to be coprimes if their hcf is 1. Recap so far, we have seen how to find the factors of a number, the prime factors of a number, the h. You may be asked to calculate a least common multiple lcm or a highest common factor hcf in every other exam, either as part of a question, or as a question in itself. Hence, product of two numbers hcf lcm of the two numbers. Lcm and hcf shortcut tricks and formulas question paper. If you are preparing for psc and upsc exams, one of the important section in quantitative aptitude is lcm and hcf. Since this greatest common divisor or gcd is also known as the highest common factor or hcf. Oct 05, 2017 trick 32 shortcuts for hcf and lcm problems duration. If a number p divides another number q exactly, we say that p is a factor of q i. The common multiples of 3 and 4 are 12,24 and so on.
The smallest natural number n that is exactly divisible by n1 and n2 is called the least common multiple lcm of n1 and n2 and is designated as lcm n1, n2. The lowest common multiple lcm of her two numbers is a multiple of 12. Hcf and lcm of three numbers part 1 gmat gre cat bank po ssc cgl. F is the highest common factor or also known as greatest common divisor, the greatest number which exactly divides all the given numbers. Lcm and hcf short tricks with examples bankexamstoday. Trick 32 shortcuts for hcf and lcm problems duration. Lcm and hcf questions and answers updated daily aptitude. M with explanation for various interview, competitive examination and entrance test.
Quantitative aptitude lcm hcf problems pdf download with. Hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive. Write down two possible numbers that helen could be thinking of. Find their difference mathabmath, and find the hcf of mathamath and mathabmath. Mar 28, 2019 lcm and hcf formulas, shortcuts and tricks with examples. Hcf and lcm important formulas, shortcut methods and tricks. Hcf and lcm word problems real world problems with step by step explanation. To find hcf and lcm with shortcut tricks is very necessary to know while you are preparing for any competitive or entrance exam because it safes your time and the chances of accuracy in short time arises. So, lets start with the topic of hcf and lcm formula in which we will discuss about shortcuts of hcf and lcm with. Sep 06, 2016 lcm and hcf problems shortcuts and tricks crt tutorial videos mr. Type 1 when various number a, b, c is divided by number n and gives the same remainder r.
Hcf and lcm shortcut formula aptitude edit hcf and lcm important formulas, shortcut methods and tricks. Category questions section with detailed description, explanation will help you to master the topic. Allindiaexams provides you lots of fully solved aptitude problems on lcm and hcf questions and answers with explanation. If you prepare properly, you can score 100 percent from this part. M is least common multiple, the smallest number which is exactly divisible by all the given. For the better understanding of the concept lcm lowest common multiple and hcf highest common factor, we need to recollect the terms multiples and factors. To find the lcm or hcf of a set of numbers, first represent them as the product of prime factors.
F of two or more than two numbers is the greatest number that divides each of them exactly. Trick 32 shortcuts for hcf and lcm problems youtube. This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers. Lcm and hcf problems shortcuts and tricks part1 crt. Properties of hcf and lcm formulas and solved problems. The lcm of two or more given numbers is the least number which is exactly divisible by each of them. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Aptitude hcf and lcm if a number p divides another number q exactly, we say that p is a factor of q i.
Lcm hcf questions, formulas, tricks and pdf download. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test. The hcf of the sum of the numbers and their lcm is equal to the hcf of the numbers. Lcm and hcf formula lcm and hcf formulas, properties and important ways to solve lcm and hcf questions are given below on this page below. Difficult questions on hcf and lcm and its explanation with examples. Lcm and hcf tricks, problems and formulas bankexamstoday. If one of the numbers is 15, find the other number.
Tips and tricks and shortcuts to find hcf easily ques. Mar 23, 2018 applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. Here 20 is the least common multiple of 2, 4, 5, and 10. Jun 11, 2019 for hcf of two numbers matha, bmath that are roughly the same size.
Tips and tricks and shortcuts for hcf and lcm page on prepinsta has best lcm and hcf tips and tricks and shortcuts. Type 1 when various number a, b, c is divided by number n and gives the same remainder r in each case. Hcf and lcm online tests, shortcuts, tricks and tips all tutorial. The numbers that are multiplied together are called factors of the final number. This sheet covers prime factorisation and finding the hcf and lcm of two or three numbers. Nowadays in competitive exams, direct questions are not asking on hcf and lcm, they focused mainly on simplification questions based on the relation between them. The lcm is the least number which is exactly divisible by each one of the given numbers. All students, freshers can download aptitude quiz questions with answers as pdf files and ebooks. The product of the highest powers of all the factors gives lcm. Learn and free practice simple and hard hcf and lcm sums with formulas, shortcuts and useful tips. The numbers which exactly divide a given number are called the factors of that number. Now, check whether the numbers are divisible by the difference. Jan 05, 2018 quantitative aptitude lcm hcf pdf download. Hence, the least possible number of casks of equal size required is 42.
F of two or more numbers is smaller than or equal to the smallest number of given numbers the smallest number which is exactly divisible by a, b and c is l. Formulas property 1 lcm x hcf product of two numbers h. For example if a number divides 51, 128, 298 and leaves 3, 8 and 10 as the remainders then the largest number to do so would be the hcf of 48, 120, 288 24. Express each one of the given numbers as the product of prime factors. The least common tackling lcm and hcf in shortcut method. Rule for finding the lcm of two numbers n1 and n2 a find the standard form of the numbers n1 and n2. Least common multiple is the least nonzero number in common multiples of two or more numbers. Applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. The product of the divisors and the undivided numbers is the required lcm of the given numbers. Lcm and hcf formulas, shortcuts and tricks with examples. Here, the shortcut to find hcf and lcm is using venn diagram. How to find the lcm aka lcd in two easy steps mathchat. Using venn diagram is the easiest way to find the highest common factor and least common multiple of two or more numbers. So it is better to start from basic terminology and concepts.
D product of two numbers product of their hcf and lcm e coprimes. Maths is never an easy subject to understand, it takes patience and a keen sense of curiosity and appreciation to comprehend it. If the numbers have no common factor, the task is even easier. Fully solved examples with detailed answer description.
Here read this topic for basics and a few tips to solve quickly and also included important models on the relation between hcf and lcm. Here you can find both objective type and multiple choice aptitude. Hcf and lcm formula shortcut tricks with examples to find. A number x is said to be multiple of y when x is exactly divisible by y. Solved examples with detailed answer description, explanation are given and it would be easy to understand. The number system constitutes an important part of ssc tier ii quantitative aptitude exam. F of two or more numbers is smaller than or equal to the smallest number of given numbers. Now, through this post, we are going to provide information about the lcm and hcf problems with solutions pdf, lcm and hcf formulas, hcf and lcm problems, hcf and lcm aptitude tricks, lcm problems with solutions, lcm and hcf problems for bank po. Lcm and hcf short tricks with examples published on tuesday, january 31, 2017.
F is 49, the two numbers can be assumed as 49x and 49y. Use the quickest methods available to save yourself time. In arithmetic, the least common multiple or lcm of two numbers say a and b, is denoted as lcm a,b. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. But this relation only work for two numbers and not for more than two numbers. In this section you can learn and practice aptitude questions based on problems on h. This is the aptitude questions and answers section on problems on h. The lcm in that case is simply the product of the numbers. To make you understand even better, we are providing you with the video link.
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