Sara has three pieces of ribbon with lengths of 18 cm, 42 cm, and 24 cm. She wants to cut the ribbon into smaller pieces of equal length with no remainder. What is the greatest possible length of each piece?

Sara has three pieces of ribbon with lengths of 18 cm, 42 cm, and 24 cm. She wants to cut the ribbon into smaller pieces of equal length with no remainder. What is the greatest possible length of each piece?

Explanation

To find the greatest possible length of each piece, we need to find the greatest common divisor (GCD) of 18, 42, and 24.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor is 6.