You made 48 rye dinner rolls, 60 wheat dinner rolls and 84 plain dinner rolls for a family picnic. if each plate is to contain the same number of rye rolls, wheat rolls, and plain rolls, with no leftover rolls, what is the greatest # of plates that can be made?

GFC is the greatest number that can exactly divide into two of more numbers. For large numbers, GFC can be found by using factor trees. Here are the steps.

Make factor trees.
Determine prime factorization.
Choose the common factors and multiply them.

Note: no need to multiply if there is only one common factor.

In case for a dinner, we made

48 rye rolls,
60 wheat rolls, and
84 plain rolls.

If we wish the same number of rye rolls, wheat rolls and plain rolls, what is the greatest of plates that can be made?

The greatest of plates that can be made is the greatest common factor of the three numbers 48, 60, and 84.

See the factor tress in the picture attached!

From the factor trees, we get prime factorization.

Prime factorization of 48: 2 × 2 × 2 × 2 × 3
Prime factorization of 60: 2 × 2 × 3 × 5
Prime factorization of 84: 2 × 2 × 3 × 7

Then, find the common factors and multiply them. The common factors are in bold.

The greatest common factor is

= 2 × 2 × 3

= 12

Hence, the greatest of plates that can be made is 12 plates.

Learn more about greatest common factor here:

https://brainly.com/question/6943707

#SPJ4