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.

Work out the Greatest Common Factor for both numbers

54                                         42
1×54                                   1×42
2×27                                  2×21
3×18                                   3×14
6×9                                    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