Question

Find the maximum numbers of students among whom 1001 pens and 910 pencils can be distributed in such way that each students get same number of pens and the same number of pencils. how many pens and pencils are distributed to each child ?

Answer 1

This is a question on GCD.

We want to get the GCD of 1001 and 910

We do this by listing their prime factors :

1001 = 7 × 11 × 13

910 = 2 × 5 × 13 × 7

The common factors in both is 7 and 13 and hence the GCD is :

13 × 7 = 91

Pens distributed to each child is :

1001/91 = 11

Pencils :

910/91 = 10