Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number of groups she make?

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

The largest number of groups that can be done is 6.

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