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Maggie is making fruit baskets. She has 36 apples and 27 oranges. Maggie wants to make all the fruit baskets identical without having any pieces of fruit left over. What is the greatest number of fruit baskets Maggie can make?

Question

Maggie is making fruit baskets. She has 36 apples and 27 oranges. Maggie wants to make all the fruit baskets identical without having any pieces of fruit left over. What is the greatest number of fruit baskets Maggie can make?

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the number of apples and oranges. The GCD is the largest number that divides both numbers without leaving a remainder.

Here are the steps:

  1. List the divisors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
  2. List the divisors of 27: 1, 3, 9, 27.
  3. Identify the common divisors: 1, 3, 9.
  4. The greatest common divisor is 9.

Therefore, the greatest number of identical fruit baskets Maggie can make is 9.

This problem has been solved

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