Question

the product of 2 number is 500 there lcm is 100 what is hcf? ​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The HCF is 5

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The product of the numbers = 500

LCM of the numbers = 100

To find :

The HCF

Solution :

Consider the HCF as x

★ As We Know :

$\boxed{\tt{Product\:of\:2\:numbers=HCF \times LCM}}$

$\tt{\implies} \: 500 = 100 \times x \\ \tt{\implies} \: 500 = 100x \\ \tt{\implies} \: x = \frac{500}{100} \\ \tt{\implies} \: x = 5$

HCF = 5

$\therefore$ The HCF is 5

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\tt{\implies} \: 500 =100 \times 5 \\ \tt{\implies} \: 500 = 500$

$\therefore$ The HCF is 5

Answer 2

Heya Mates !!!!

Answer :-

Product of Two Numbers = 500

LCM of Two Numbers = 100

HCF of Two Numbers = ?

We know that,

Product of two numbers = HCF × LCM

So,

HCF = $\dfrac{\textsf{Product of two numbers}}{\sf LCM}$

= $\sf \dfrac{500}{100}$

= 5

Therefore, the required HCF is 5.