Question

6 different sweet varieties of count 32 216 136 88 184 120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweet and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack?

Answer 1

This is a question on GCD.

The GCD of 32, 216, 136,88, 184,120

32 = 2 × 2 × 2 × 2 × 2

216 = 2 × 2 × 2 × 3 × 3

136 = 2 × 2 × 2 × 17

88 = 2 × 2 × 2 × 11

184 = 2 × 2 × 2 × 23

The GCD = 2³ = 8

The number of boxes are :

32/8 + 216/8 + 136/8 + 88/8 + 184/8 = 82

We have 82 boxes