HCF and LCM

IMPORTANT

HCF and LCM: Overview

This topic covers concepts such as Methods to Find HCF, Division Method to Find HCF, Shortcut for Finding HCF, Methods to Find LCM, Common Division Method to Find LCM, Shortcut for Finding LCM, HCF and LCM of Fractions, etc.

Important Questions on HCF and LCM

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IMPORTANT

What is the number of divisors of $360$?

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What is the least number which when divided by 15,17and18 leaves remainder 3 in each case?

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The greatest number that can divide 140, 176 and 264 leaving remainder of 4, 6 and 9 respectively.

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

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HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is _____.

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The sum of two numbers is 216 and their HCF is 27. How many pairs of such number are there?

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How many times do they toll together in 30 minutes. If six bells commence tolling together and toll at intervals of 2, 4, 6, 8,10 and 12 Seconds respectively ?

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Find the L.C.M of 0.5, 2.1 and 2.8.

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The greatest 4-digit number exactly divisible by 10, 15, 20 is -

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What is the HCF of 18 and 48?

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Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 kg, 434 kg and  465 kg. What biggest measure be there to measure all the different quantities exactly?

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Find H.C.F. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400 ?

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How many number lie between 1-1000 which divisible by 6,7and15.

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Find the number of factors of 240.

HARD
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If L.C.M of two numbers is 231, H.C.F of two numbers is 11 and one number is 77, the other number is _____ .

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A number N is such that it is the LCM of all the positive integers from 2 to 15 . Then the number of digits N have

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The sum of two numbers x and y is 234 and their LCM is 756. Which of the following is the value of x or y?

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The sum of two numbers is 657 and the HCF of those two numbers is 73. How many such possible pairs are there?

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Three bells ring on an interval. If the time difference between 1st  and 2nd  bells ring is 240 sec, 2nd  and 3rd bells ring is 83.33% of the time difference between 1st  and 2nd  bells, 3rd  and 1st  bells ring is 0.8 times of the time difference between 2nd  and 3rd bells, then after how much time do they ring together?

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IMPORTANT

The LCM of two numbers is 5 times their HCF. The product of two numbers is 3125. Find HCF.