Question

Sam has 12 black and white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black and white photos or colored photos only. In how many rows can sam arrange the photos?

Answer 1

12 black and white, 18 color in one row
6 black and white, 9 color in two rows
4 black and white, 6 color in three rows
2 black and white, 3 color in six rows

Answer 2

6 rows.

Explanation:

To solve this question, we need to find te Greatest Common Factor which is the largest positive integer that divieds each number equally.

So, in this case we have the numbers 12 and 18, their divisors are

`12 : 1, 2, 3, 4, 6, 12`

`18: 1, 2, 3, 6, 9, 18`

If you compare both sets, you would find that the largest common number is six, that means the Greatest Common Factor between these two numbers is 6.

Therefore, Sam can arrange the photos in 6 rows.