HCF AND LCM

IMPORTANT

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

MEDIUM
IMPORTANT

Find the HCF of 14, 21 and 252.

MEDIUM
IMPORTANT

Find the HCF of 42, 126 and 252.

HARD
IMPORTANT

Find the H.C.F. and L.C.M of 30,72,432 by prime factorisation.

MEDIUM
IMPORTANT

If the H.C.F. of 210 and 55 is expressible in the form of 210×5+55a, then find the value of a.

EASY
IMPORTANT

Two natural numbers whose sum is 85 and the least common multiple is 102 are

MEDIUM
IMPORTANT

L. C. M of 2.5, 0.5 and 0.175 is

EASY
IMPORTANT

The HCF of two numbers is 27 and their LCM is 162. If one of the number is 54. What is the other number?

EASY
IMPORTANT

The H.C.F of 45 and 105 is 15. Write their L.C.M.

EASY
IMPORTANT

Find the H.C.F of 960 and 432.

MEDIUM
IMPORTANT

The traffic lights at three different roads crossing change after 48, 72 and 108 seconds, respectively. If the time the traffic light changes simultaneously is k minutes and 12 seconds after 7.00 am, then find the value of k.

MEDIUM
IMPORTANT

A circular field has a circumference of 360 km. Two cyclists Sumeet and John start together and can cycle at speeds of 12 km/h and 15 km/h respectively, round the circular field. They will meet again at the starting point after

EASY
IMPORTANT

LCM and HCF of 343 and 7 is:-

EASY
IMPORTANT

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 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?

EASY
IMPORTANT

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

EASY
IMPORTANT

If HCF of 60 and 168 is 12, what is the LCM

HARD
IMPORTANT

LCM of three numbers 28, 44, 132 is -

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

If HCF of 60 and 168 is 12, what is the LCM.

EASY
IMPORTANT

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