Question

A jewelry maker has 24 jade beads and 30 teak beads. What the the greatest number of necklaces she can make? How many beads of each type are on each necklace?

Answer 1

6 necklaces each having 4 jade beads and 5 teak beads

Answer 2

Find the GCF of 24 and 30

24 30
1×24 1×30
2×12 2×15
3×8 3×10
4×6 5×6

The common factors are 1, 2, 3, and 6

That means we can make 6 necklaces, each necklace with 4 jade beads and 5 teak beads.