Question

Bill cut out 16 squares and 28 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

Answer 1

The greatest number of groups he could have made is 4 groups

Each of the four groups will have:

4 Squares each

7 circles each

Explanation:

16 squares

28 circles

Find the highest common factor of 16 and 28

16: 1, 2, 4, 8, 16

28: 1, 2, 3, 4, 7, 14, 28

The highest common factor of 16 and 28 is 4

This means the greatest number of groups he could have made is 4 groups

Each of the four groups will have:

16 squares = 16 / 4

= 4 Squares each

28 circles = 28 / 4

= 7 circles each

Each of the four groups will have:

4 Squares each

7 circles each