The product of two numbers is 1944 and their LCM is 108. Find the HCF of the two numbers.

Given :

Product of two numbers is 1944.

LCM of the numbers is 108.

To find :

We have to find their HCF.

Solution :

$Product of two numbers = LCM \times HCF of he numbers$

So, $1944 = 108 \times HCF$

Rewrite,

$108 \times HCF = 1944$

$HCF = \frac{1944}{108}$

$HCF = 18$

HCF of the numbers is 18