Dennis is packing 108 pens ,80 books and96 note pads into boxes. he wants to pack an equal number of pens books and note pads in each box . find the greatest number of boxes that dennis can pack the items into

Hello there, my fellow human being!

The first thing we need to do is work out the highest common factor of 108, 80, and 96.

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

So, the common factors are 1, 2 and 4
The highest common factor (HCF) is 4.

The greatest number of box used is 4 boxes and the number of each item in each box is...
Pens - 108/4 = 27 pens
Books - 80/4 = 20 books
Notepads - 96/4 = 24 notepads.

Hope this helped!
~Ruru