A teacher has to make groups from her class of 24 boys and 18 girls. Each group will have the same number of girls. Each group will have the same number of boys. All students will be in a group. What is the greatest number of groups the teacher can make?
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Borys Shumyatskiy
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Denote a number of groups as `n .`
Because each of `n` groups should have the same number of boys, this number `n` must divide the number of boys, i.e. `24 .`
The same way, because each of `n` groups should have the same number of girls, this number `n` must divide...
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