HCF and LCM
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
What is the number of divisors of $360$?

What is the least number which when divided by leaves remainder in each case?

The greatest number that can divide and leaving remainder of and respectively.

What will be the remainder when is divided by ?

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

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

How many times do they toll together in minutes. If six bells commence tolling together and toll at intervals of and Seconds respectively ?


The greatest -digit number exactly divisible by is -


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

Find H.C.F. Three number are in the ratio of and their L.C.M. is ?

How many number lie between which divisible by .

Find the number of factors of .

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

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

The sum of two numbers and is and their LCM is Which of the following is the value of or

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

Three bells ring on an interval. If the time difference between and bells ring is sec, and bells ring is of the time difference between and bells, and bells ring is times of the time difference between and bells, then after how much time do they ring together?

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