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# The product of two numbers is 972. If their LCM is 108, find their HCF.

**Given : **

Product of two numbers = 972

LCM of the numbers = 108

**To find : **

HCF of the numbers =?

**Solution : **

We know that,

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

$108\times HCF = 972$

$HCF = \frac{972}{108}$

HCF = 9

Therefore, **HCF of the two numbers = 9.**

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