Yuan has two pieces of yarn, one 4 feet long and the other 18 feet long. For a craft project, he wants to cut them up to produce many pieces of yarn that are all of the same length, with no yarn left over. What is the greatest length, in feet, that he can make them?

Question

Mathematics

Madalyn

8 August, 10:29

Yuan has two pieces of yarn, one 4 feet long and the other 18 feet long. For a craft project, he wants to cut them up to produce many pieces of yarn that are all of the same length, with no yarn left over. What is the greatest length, in feet, that he can make them?

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Answers (1)

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Leland Friedman · Answer 1

2feet

Step-by-step explanation:

To the greatest length, in feet, that he can make them, we need to find the greatest commom factor betwwen 4 and 18

Pairs of factor of number 4 : 4 and 1, 2 and 2

Pairs of factor of number 18: 1 and 18, 2 and 9, 3 and 6

So only 2 are the greatest commom factor, then the greatest length is 2feet with no yarn left over!