Mrs Rahel has three classes . Each class has 28,42 and 56 students respectively. Mrs Rahel wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What the maximum number of students Mrs Rahel can put into each group?

Question

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To find the maximum number of students Mrs Rahel can put into each group, we need to find the greatest common factor (GCF) of 28, 42, and 56.

First, we can find the prime factors of each number:

28 = 2 x 2 x 7
42 = 2 x 3 x 7
56 = 2 x 2 x 2 x 7

Then, we can identify the common factors:

2 x 7 = 14

Therefore, the maximum number of students Mrs Rahel can put into each group is 14. She can divide her first class into 2 groups of 14 students each, her second class into 3 groups of 14 students each, and her third class into 4 groups of 14 students each.