Question

If LCM of two numbers (greater than 1) is product of them, then their HCF is ​

Answer 1

Answer:

hcf is 1 as product=lcm*hcf

Step-by-step explanation:

Answer 2

Concept:

The least common multiple is denoted by LCM, is the smallest positive integer that is divisible by both a and b.

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given:

We are given that the LCM of two numbers is the product of them.

Find:

We need to find their HCF.

Solution:

Let the two numbers be a and b.

We are given that:

a×b=LCM  ...(1)

We also know that:

a×b=LCM×HCF

Substituting (1) in the equation:

LCM=LCM×HCF

HCF=1

Therefore, the HCF of the numbers whose product is equal to the LCM is 1.

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