Dennis is packing 108 pens, 80 books, 96 notepads into a boxes. he wants to pack an equal amount of each in each box find the greatest number of boxes and the amount in each box.

Work out the highest common factor of 108, 80, and 96

108                             80                           96

1 × 108                     1 × 80                      1 × 96
2 × 54                     2 × 40                     2 × 48
3 × 36                     4 × 20                     3 × 32
4 × 27                     8 × 10                      4 × 24
6 × 18                                                      6 × 16
9 × 12                                                      8 × 12

The common factors are = 1, 2, and 4
The Highest Common Factor is 4

The greatest number of box used is 4 boxes
The number of each item in each box is

Pens ⇒ 108÷4 = 27 pens
Books ⇒ 80÷4 = 20 books
Notepads ⇒ 96÷4 = 24 notepads