Question

Halle has 36 feathers, 48 acorns, and 60 agates. She wants to put all of these items into bowls with the same number of feathers, acorns, and agates in each bowl and none left out. What is the maximum number of bowls she can put the items into

Answer 1

Hey!

You have to find the GCF of the 3 numbers. First list the factors of each number and see which is the greatest.

36 - 1, 2, 3, 4, 6, 9, 12, 18, 36

48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The bold numbers are the common factors. The greatest common factor is 12.

That means the maximum number of bowls he can put items into is 12 bowls.

$\framebox{Answer = 12 bowls}$

Answer 2

To find the answer to this question, you simply find the greatest common factor.

All of these numbers have many factors, like 1, 2, 3, 4, and 6.

The greatest common factor is 12.

36, 48, and 60 can all be divided by 12 with no leftover or decimals. There is no higher common factor.

The maximum number of bowls she can put the items into is 12 bowls.

I hope this helps :)