Two ropes, 18 meters in length and 24 meters in length, need to be cut into pieces which are all the same length. What is the greatest possible length of each piece?
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<|im_start|>user
Two ropes, 18 meters in length and 24 meters in length, need to be cut into pieces which are all the same length. What is the greatest possible length of each piece?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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Two ropes, 18 meters in length and 24 meters in length, need to be cut into pieces which are all the same length. What is the greatest possible length of each piece?
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