Question

There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices

Answer 1

12 students

Explanation:

Given that:

Eighth grade student = 72

Sixth grade student = 84

To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student

Factors of 72:

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81

The greatest factor common in both numbers is 12.