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| Math Central | Quandaries & Queries |
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Question from Raquel: A minor league baseball team gave away baseball cards to each person entering the stadium. One group receives 28 baseball cards. A second group received 68 baseball card. If each person entering the stadium receive the same number of cards, what was the greatest possible number of baseball cards that each person could have received? |
Hi Raquel,
If each of the 28 people in the first group received the same number of cards then the number of cards each received divides 28.
If each of the 68 people in the second group received the same number of cards then the number of cards each received divides 78.
So you are looking for a common divisor of 28 and 68. in fact you want the greatest common divisor, or sometimes called the greatest common factor, of 28 and 68.
Penny
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