Elise is making necklaces. She has 15 purple beads and 12 yellow beads. If Elise wants to make all the necklaces exactly the same with no beads left over, what is the greatest number of necklaces she can make?

3 necklaces.

Step-by-step explanation:

According to the Question,

Elise is having 15 Purple beads and 12 Yellow beads,

All necklace should be the same,

So, She wants to form group such that in each group, equal number of Purple and Yellow beads will be present.

Now, the maximum number of such necklaces can be calculated from the HCF of 15 and 12 as we want to break them in equal groups.

Now, HCF of 15 and 12 comes out to be 3.

Thus,

a maximum of 3 necklaces can be made.