On Saturday a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. A second group r

Question: on saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. a second group received 68 baseball cards. If each person entering the stadium received the same number of cards, what was the greatest possible number of cards that each person could have received?

Answer:

4 baseball cards

Step-by-step explanation:

Since each person entering the stadium receive the same number of cards, we look for the Highest Common Factors HCF of the number of members of the groups.

The factors of 28 = 1 x 2² x 7

The factors of 68 = 1 x 2² x 17

Looking at the factors, the higest common factor HCF is 2² or 4.

This implies that the higest possible number of baseball cards that each person would have received is 4 baseball cards