Question

if the LCM of two number is 1452 and product of the number is 15972 find their HCF​

Answer 1

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Answer 2

HCF of two numbers = 11

Given:

The LCM of two number is 1452

The product of the number is 15972

To find:

HCF of two numbers

Solution:

NOTE:

• The product of LCM and HCF of two number will be equals to product of the two numbers.

• If a, b are two positive numbers then

     ⇒ LCM(a, b) × HCF (a, b) = Product of ab  

From given data,

LCM of two numbers = 1452

And Product of two numbers = 15972

Let X be the HCF of two numbers

⇒ 1452 × X = 15972

⇒  X = 15972/1452 = 11

Therefore, HCF of two numbers = 11

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