Question

What is the greatest number by which 1037 and 1159 can both be divided exactly?

Answer 1

The greatest number by which these numbers are divided exactly is there HCF

The given number can be written as

$\Rightarrow 1037=17\times 61$

$\Rightarrow 1159=19\times 61$

The higest common factor of these two numbers is $61$
So HCF of $1037,1159=61$

$\therefore$ The greatest number by which $1037$ nd $1159$ can both be divided exactly is $61$