Kiera has two pieces of rope, one 120 inches long and the other 64 inches long. For a project, she needs to cut them up to produce many pieces of rope that are all of the same length, with no rope left over. What is the greatest length, in inches, that she can make them?

1 answer

GCD(64,120) = 8
so she can cut them up into 8" pieces, but no longer.