Question

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.

Answer 1

Sample Response:  List the factors of each number. Then circle the common factors. Finally, identify the greatest of the common factors. The GCF of 54 and 42 is 6.

Answer 2

Work out the Greatest Common Factor for both numbers

54                                         421×54                                   1×422×27                                  2×213×18                                   3×146×9                                    6×7

The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
There are 6 identical arrangements that can be made
 
There will be 9 roses and 7 tulips in each arrangement