Cameron is making bead necklaces. He has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces he can make if he wants to use all of the beads?
1 Answer
Cameron can make
Explanation:
Assume, each necklace contains
Then we can establish the following equations in natural numbers:
Our task is to find a maximum
Obviously,
To find the maximum common denominator of
As we see, the maximum common denominator (a product of all prime numbers that are identical for both
Therefore, assigning
Maximum number of identical necklaces is