Question

Lara has 2 pieces of string. One is 15 feet long and the other is 12. For an art project, she wants to cut them up to produce many pieces of string that are all of the same length with no string left over. What is the greatest length, in feet, that she can make?

Answer 1

3 feet

Explanation:

Lara has 2 pieces of string. One is 15 feet long and the other is 12.

We solve this question using the Greatest Common Factor method.

We have to find the factors of 12 and 15

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 3.

Therefore, the greatest length, in feet, that she can make is 3 feet