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Kendall wants to create snack bags for a trip she is going on. She has 28 granola bars and 49 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Kendall can make?

Question

Kendall wants to create snack bags for a trip she is going on. She has 28 granola bars and 49 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Kendall can make?

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the two numbers, 28 and 49. The GCD is the largest number that divides both numbers without leaving a remainder.

Here are the steps:

  1. First, list the factors of each number:

    Factors of 28: 1, 2, 4, 7, 14, 28 Factors of 49: 1, 7, 49

  2. Then, identify the common factors:

    Common factors of 28 and 49: 1, 7

  3. The greatest common factor is 7.

So, Kendall can make 7 snack bags.

This problem has been solved

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