A baker has 27 wheat bagels and 36 plain bagels that will be divided into boxes. Each box must have the same number of wheat bagels and the same number of plain bagels. What is the greatest number of boxs the baker can make using all of the bagels?

Question

Mathematics

Martin Eaton

4 July, 11:59

A baker has 27 wheat bagels and 36 plain bagels that will be divided into boxes. Each box must have the same number of wheat bagels and the same number of plain bagels. What is the greatest number of boxs the baker can make using all of the bagels?

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Answers (1)

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Sarai Ayala · Answer 1

You need to find the Greatest Common Divisor. (GCD) or also called Greatest Common Factor.

Factors of 27 = 1, 3, 9, 27

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Above we can see that 9 is the greatest number each has in common so

The GCD = 9

So the greatest number of boxes the baker can make using all of the bagels is 9