HCF AND LCM
HCF AND LCM: Overview
This Topic covers sub-topics such as Relation between LCM and HCF of Two Numbers, HCF using Prime Factorisation Method, LCM using Prime Factorisation Method, LCM of Three Positive Integers and, HCF of Three Positive Integers
Important Questions on HCF AND LCM


Find the H.C.F. and L.C.M of by prime factorisation.

If the of and is expressible in the form of , then find the value of .

Two natural numbers whose sum is and the least common multiple is are


The HCF of two numbers is and their LCM is . If one of the number is . What is the other number?



The traffic lights at three different roads crossing change after and seconds, respectively. If the time the traffic light changes simultaneously is minutes and seconds after , then find the value of .

A circular field has a circumference of . Two cyclists Sumeet and John start together and can cycle at speeds of and respectively, round the circular field. They will meet again at the starting point after


There is a circular path around a sports field. Sonia takes minutes to drive one round of the field, while Ravi takes minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. What is the least amount of time after which they meet each other again at the starting point?

The LCM of two numbers 'a' and 'b' is 'L'. What is their HCF?



The product of two number is 360 and their HCF is 6 find their LCM.

If p and q are two positive integers, then HCF(p,q) × LCM (p,q) =


The L.C.M. of 2 numbers of three digits each is 1740 and the H.C.F. is 209. The two numbers are
