Question

A farmer has $2494$ sheep and $2193$ lambs. He farms them into flocks, keeping sheep and lambs separate and having the same number of animals in each flock. If these flocks are as large as possible. Find the maximum order of animals in each flock.

Answer 1

$2193=3\times 17\times 43$

$2494=2\times 29\times 43$

The maximum order of animals in each flock is obtained

by finding the HCF of $2193$ and $2494$ which is $43$.