HCF and LCM
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
Find the greatest number that divides and leaving remainders and respectively is -



What will be the remainder when is divided by ?


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

The LCM of two numbers is and their HCF is One of the number is The other is -

What is the remainder when [] is divided by ?


Six bells commence tolling together at intervals of and respectively. In . How many times do they toll together?

The of two numbers is and their is If one of the numbers is Find the other?

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

Find the greatest number that will divide and leaving the remainder and respectively?

In a college all the students are made to stand in four rows. rows contains students respectively. Find the least number of students in the college?

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

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

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

Find the last number which when divided by and leaves remainder and respectively?

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

FInd the least number which when divided by and leaves as a remainder?
