Question

The H.C.F. and L.C.M. of the two numbers are $173$ and $6055$ respectively. If one of the numbers is$1211$, find the other.

Answer 1

Let us suppose the second number is $x$
The relation between the product of two numbers and their L.C.M., H.C.F. is
Product of two numbers = L.C.M. $\times$ H.C.F.
$1211\times x$ $=6055\times 173$
$x=\frac{6055\times 173}{1211}$
= $\frac{6055\times 173}{173\times 7}$ = $\frac{6055}{7}$= $\frac{7\times 865}{7}=865$
So, the value of the second number is $865$.