Question

Nathan has 80 us stamps,64 Canadian stamps,and 32 Mexican stamps. He wants to put the same number of stamps on each page. Each page will have stamps from only one country. What's the greatest number of stamps that he can put on each page?

Answer 1

Answer:

The greatest number of stamps that Nathan can put on each page = 16.

Step-by-step explanation:

Given:

Nathan has:

80 US stamps

64 Canadian stamps

32 Mexican stamps

The stamps need to put on a page such that each page has same number of same country stamps on each page.

To find the greatest number of stamps he can put on each page.

Solution:

In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.

The numbers are:

$80,64,32$

We will list down the prime factors of each number.

$80=2\times 2\times 2\times 2\times 5$

$64=2\times 2\times 2\times 2\times 2\times 2$

$32=2\times 2\times2\times 2\times 2$

The G.C.F can be given as = $2\times 2\times 2\times 2$ = 16

Thus, the greatest number of stamps that Nathan can put on each page = 16.