High School

Jane is cutting ribbons. She has two ribbons, one 43 units long and the other 44 units long. She wants to cut both ribbons into pieces of the same length. What is the largest possible length of each piece?

Answer :

The largest possible length Jane can cut her ribbons into pieces of the same length is 1 unit because the greatest common divisor of 43 and 44 is 1.

Jane has two ribbons, one is 43 units long and the other is 44 units long, and she wishes to cut them into pieces of equal length. To find the largest possible length for these pieces, we need to determine the greatest common divisor (GCD) of both ribbon lengths. The GCD of 43 and 44 is 1, because 43 is a prime number and has no other divisors besides 1 and itself, and 44 is not divisible by 43. Therefore, the largest possible length Jane can cut both ribbons into pieces that are all of the same length is 1 unit long.

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