Question

If the product of two numbers is $1250$ and LCMis $10$, so find theHCF.

Answer 1

Let the two numbers $a$ and $b$ have the following property:

$a\times b=$ HCF($a,b$) $\times$ LCM($a,b$)
$\Rightarrow 1250=$ HCF($a,b$) $\times 10$

$\Rightarrow \frac{1250}{10}=$ HCF($a,b$)

$\Rightarrow$ HCF($a,b)=125$