a florist has 30 lilies, 42 gerberas, and 36 roses to make bouquets with. Each bouquet must be identical. What is the largest number of bouquets that can be mad

Question

please help me! 

Answer 1

Assuming that the florist has to use all the flowers (otherwise he could make 30 bouquets of 1 of each flower)

 

We have to find the greatest common factor of 30, 36, and 42.

 

Factors of 30: 1,2,3,5,6,10,15,30

Factors of 36: 1,2,3,4,6,9,12,18,36

Factors of 42: 1,2,3,6,7,14,21,42

 

The greatest common factor is 6.  He can make 6 bouquets of 5 lilies, 7 gerberas, and 6 roses