HCF and LCM

IMPORTANT

HCF and LCM: Overview

This topic covers concepts, such as, Least Common Multiple (LCM), HCF using Prime Factorisation Method, LCM and HCF of Numbers and Relation between LCM and HCF of Two Numbers etc.

Important Questions on HCF and LCM

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 Find the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is -

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The value of (0.00032)0.6 is_____.

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491 + 492 + 493 + 494 is divisible by:

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What will be the remainder when (5382+53) is divided by 54?

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 Find the H.C.F. of23 ,45  and 67 

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Two numbers are in the ratio 4 : 5 and their LCM is 180, then find the smaller number?

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The LCM of two numbers is30 and their HCF is 5. One of the number is 10. The other is -

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What is the remainder when [(1931)221]428 is divided by 1932?

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What is the HCF of 143 and  208?

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Six bells commence tolling together at intervals of 2,4,6,8,10 and 12 seconds respectively. In 30 minutes. How many times do they toll together?

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The HCF of two numbers is 3 and their LCM is 60. If one of the numbers is 15. Find the other?

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The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:?

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Find the greatest number that will divide 427 and 900 leaving the remainder 3 and 8 respectively?

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In a college all the students are made to stand in four rows. 4 rows contains 12, 8, 22, 30 students respectively. Find the least number of students in the college?

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Riya, Anil and Rishi start running around a circular stadium and complete one round in 15s, 12s and 21s respectively. In how much time wil they meet again at the staring point?

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Three buckets contains balloons filled with water, First bucket contains 243 balloons. Second contains 304 balloons and last bucket contains 127 balloons. Find the largest number of balloons that can be given equally to the children such that 3, 4 and 7 balloons are left in first, second and third bucket respectively?

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HCF and LCM of two members is 5and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbers

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Find the last number which when divided by 6, 8, 15 and 30 leaves remainder 2, 4, 11 and 26 respectively?

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The HCF and LCM of two numbers is 84and 840 respectively. If the first number is 168, find the second one

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FInd the least number which when divided by 12, 27 and 35 leaves 6 as a remainder?