Jock has two pieces of wire, one that is 90m long and the other that is 42m long. He wants to cut the wires up so that each piece is the same length. What is the longest possible length of each piece?

Question

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Answer 1

Because the wires are to be cut into equal sized pieces, we can write 90=6×15 and 42=6×7.

So if he cuts each wire into 6m pieces, he ends up with 22 pieces. And 6m is the longest possible length if both wires are to be cut into equal pieces.