Question

Two armies face each other for battle. One army has 1220 soldiers and the other has 549 soldiers. Both armies are divided into smaller groups of equal size called platoons. Find the largest possible number of soldiers in a platoon if the platoon size is equal for the two armies.

Answer 1

The question is asking for the highest common factor (HCF)

1220 = $2^{2}$ x 5 x 61
549 = $3^{2}$ x 61
HCF = 61

Ans: 61