Question

Answer the following :

If the product of two numbers is $315$ and their LCM is $105$, what is their HCF?

Answer 1

Let Suppose we have two numbers $a$ and $b$, then we have a rule i.e $a\times b=HCF(a,b)\times LCM(a,b)$, which means that product of those two numbers is equal to the product of their LCM and HCF

Given : $a\times b=315$ and $LCM=105$

so using the property, we have $315=HCF(a,b)\times 105$

$\frac{315}{105}=HCF(a,b)$

$3=HCF(a,b)$