On the other hand, least common multiple lcm is the smallest common multiple of the whole numbers. Mathematics solutions for class 6 math chapter 9 hcf lcm. The hcf asks you to find the biggest highest factor that belongs is common to both numbers. Harry, charlie and alyssa are rehearsing music routines. The product of two numbers is equal to the product of their hcf and lcm. A number which exactly divides all the given numbers is a common divisor of those numbers. Highest common factor hcf or lowest common multiple lcm word. Find the lowest common multiple lcm of each pair of numbers. Harry takes 75 seconds to finish his drum routine, charlie takes 5 seconds to finish his bass routine and alyssa completes her piano routine in 225 seconds.
F is 49, the two numbers can be assumed as 49x and 49y. As we are looking to have pieces of ribbon that are as long as possible, we are looking for the highest common factor. Improve your skills with free problems in hcf and lcm. Printable worksheets and online practice tests on wordproblemsonlcmandhcf for class 4. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and hcf.
Express 225 as the product of powers of its prime factors. I have tried out each and every one with my students. Hence, the least possible number of casks of equal size required is 42. F of two or more numbers is the greatest number that divides each of them exactly. Understanding properties of hcf and lcm, and seamlessly combining different mathematical concepts in solving word problems. Improve your math knowledge with free questions in gcf and lcm. I use this with my year 8 lower set to consolidate.
Ixl uses cookies to ensure that you get the best experience on our website. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. Here, we are cutting the ribbon into smaller pieces. Hcf is highest common factor, so we need to get the common highest factors among given values. Typical problems on hcf and lcm gcd and lcm problems. Quantitative aptitude questions and answers hcf and lcm.
Questions involving hcf and lcm will involve 2 or more numbers. All students, freshers can download aptitude quiz questions with answers as pdf files and ebooks. Hcf of fraction hcf of numerator lcm of denominator. Find the highest common factor hcf of each pair of numbers. The numbers that are multiplied together are called factors of the final number. There is nothing called trick or shortcut in mathematics. If a days ration is 284 packets of biscuits, 426 packets of instant noodles and 710 bottles of. Highest common factor find the hcf of 12 and 32 the highest common factor hcf of 12 and 32 is 4. Having said that, let us talk about the problem at h. Find the side of the largest square slab which can be paved on the floor of a room 5 meters 44cm long and 3 meters 74 cm broad. Problems on lcm and hcf aptitude questions and answers. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. Find the lowest common multiple lcm of 15, 20 and 25.
You can choose to include answers and stepbystep solutions. They all start practising at the same time and keep repeating their routines when completed. Find the hcf of 18 and 45 the highest common factor hcf of 18 and 45 is 9. All questions and answers from the mathematics solutions book of class 6 math chapter 9 are provided here for you for free. The number system constitutes an important part of ssc tier ii quantitative aptitude exam. Hcf lcm interview puzzles questions answers genius puzzles. How to interpret whether a question is of lcm or hcf quora. Thus for this post, the main focus is not on going through how to find hcf and lcm please refer to your notes on those, but more importantly to go through how to determine when to find the hcf and when to find the lcm of the numbers involved in the problem sums. Solved examples with detailed answer description, explanation are given and it would be easy to understand. Here you can find both objective type and multiple choice aptitude. Hcf is also known as the greatest common divisor gcd or the greatest common factor gcf.
We can combine the previous tests for divisibility by testing separately for divisibility by the. Highest common factor find the hcf of 12 and 32 the highest common factor hcfof 12 and 32 is 4. A 286, 187 b 100, 270 c 96, 40 d 171, 189 e 120, 65 f 120, 96 6 find the lcm least common multiple of the following numbers 28, 20, 14, 4 7 helen has two sheets of cloth. The hcf and lcm are essential for fractions and later for algebra. Class 4 ncert cbse and icse word problems on lcm and hcf. The lcm wants the smallest lowest number that is a multiple of both numbers. Gcse hcf and lowest common multiple, highest common factor. Aug 24, 2016 word problems where pupils have to identify whether it is a hcf or lcm question before answering. Word problems involving greatest common factor and least. Highest common factor hcf or lowest common multiple lcm. Examples from edexcel igcse past papers on finding prime factorisations, hcf highest common factor and lcm lowest common multiple 1.
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. The pack contains a full lesson plan, along with accompanying resources, including a student worksheet and suggested support and extension activities. As we want to have pieces of equal length, we need to find a number that exactly divides both 18 and 24 that is, common factors. Hcf and lcm word problems worksheet gcse maths worksheets. We can combine the previous tests for divisibility by testing separately for divisibility by the highest power. Read each question carefully and think about what the question is asking. To make you understand even better, we are providing you with the video link. Hcf and lcm questions answers mcq quantitative aptitude. Writing a program to find the hcf and lcm of two whole numbers is. Page 2 0f 3 lcm and hcf questions and answers updated daily. A common factor of two or more numbers is a number that divides each of them exactly. Quantitative aptitude lcm hcf problems pdf download with. If one of the numbers is 15, find the other number.
The hcf will be smaller than or equal to the smaller number, and the lcm. A number is said to be a factor of another number it divides the other number exactly. Quantitative aptitude hcf and lcm tutorial download pdf. Properties of hcf and lcm formulas and solved problems. What are the applications of hcf and lcm in daily life. Here are three examples of word problems which can be solved using the gcf or the lcm. Therefore lcm of given coprime numbers is equal to the product of the numbers. This is the aptitude questions and answers section on problems on h. A number may be made by multiplying two or more other numbers together. May 11, 2009 problem sums on hcf and lcm can be really tricky as they are not easy to identify. This is a general result, which in year 7 is best demonstrated by examples.
It is misleading and is used by very many coaching institutes to lure gullible students to them. Allindiaexams provides you lots of fully solved aptitude problems on lcm and hcf questions and answers with explanation. Practice problems on hcf and lcm for all competitive exams common divisor. This was designed for a low ability group that needed repetitive practice on how to identify hcf or lcm in a problem. Quantitative aptitude hcf and lcm tutorial study material. View answer discuss submit your email address to get latest post directly to your inbox. One sheet is 456 inches wide and the other sheet is 120 inches wide. Lcm of fraction lcm of numerator hcf of denominator. How many packages of pencils and erasers should phillip buy. Category questions section with detailed description, explanation will help you to master the topic. Fully solved examples with detailed answer description.
Hcf of two or more numbers is the greatest factor which divides each of them exactly. Due to some limitations in web options, math symbols, notations were unable to view properly. Sep 19, 2016 here are three examples of word problems which can be solved using the gcf or the lcm. Word problems on direct variation and inverse variation word problems on unit price. C program to find hcf and lcm programming simplified. For this question we need to write all the given numbers, and then write their highest powers. The code below find the highest common factor and the least common multiple of two integers. Word problems on simple equations word problems on linear equations word problems on quadratic equations. In this section you can learn and practice aptitude questions based on problems on h. Find the lcm of 2 4 x 5 2 x 7 3 x 11 2, 7 6 x 5 4 x 2 7 x, 5 6 x 2 2 x 7 4 x 17.
Word problems involving highest common factor and lowest common multiple. F question and answers with easy solutions in aptitude topic are present here. In this section, you will learn how to find highest common factor hcf and least common multiple lcm of the given numbers. Chapter 2 gcf and lcm word problems 6th grade youtube. Hcf highest common factor this is the biggest number that will divide into the given numbers. Hcf and lcm problems and solutions formulas, tips and tricks. As a humanitarian effort, food ration is distributed to each refugee in a refugee camp. Factors, multiples, primes, prime factors, lcm and hcf. By practicing these problems on lcm and hcf quiz, it becomes easy for the students to face the competitive exams. Word problems where pupils have to identify whether it is a hcf or lcm question before answering. Express 2 as the product of powers of its prime factors.
There are understandable, simple solutions useful for rrb alp, group d and bank jobs. Lcm of fractions hcf of fractions hcf and lcm problems. If the applicant keep practicing problems on lcm and hcf aptitude questions, it will lead to the improvement in problemsolving capacity. Printable worksheets and online practice tests on word problems on lcm and hcf for class 4. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and. Lcm and hcf questions and answers updated daily aptitude. All questions and answers from the mathematics solutions book of class 7 math chapter 3 are provided here for you for free. Both hcf and lcm carry a great significance in mathematics, physics and engineering. Problem sums on hcf and lcm can be really tricky as they are not easy to identify. M with explanation for various interview, competitive examination and entrance test. A selection of some of my favourite, free maths activities to use in lessons. Also, people can meet the interview sessions effectively. Solutions for the assessment factors, multiples, primes, prime factors, lcm and hcf. How to find the highest common factor and least common multiple, examples and step by step solutions, how to work out hcf and lcm using prime factorization, short division, using a venn diagram method to find lcm and hcf, lcm and gcf calculator, how to solve lcm and hcf gcf word problems, gcse maths.
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