Question

The product of 2 numbers is 3024 and their lcm is 36 find their hcf

Answer 1

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Answer 2

The HCF of the two numbers is 84.

Given:

The product of 2 numbers is 3024 and their LCM is 36.

To find:

The HCF.

Solution:

To answer this question, we will follow the following steps:

First of all, we should know that the product of two numbers a and b is equal to the product of their HCF and LCM.

This means,

$a \times b = hcf \times lcf$

Now,

As given in the question, we have,

Product of two numbers = 3024

LCM of two numbers = 36

So,

HCF of two numbers

$= \frac{3024}{36}$

After solving the above, we get

$= 84$

Hence, the HCF of the two numbers is 84.

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