You have 72 red beads, 120 white beads and 192 blue beads. You want to
use all the beads to make bracelets that have red, white and blue beads on
each. What is the largest number of bracelets you can make?
72 = 2^3 * 3^2
120 = 2^3 * 3 * 5
192 = 2^6 * 3
so GCF(72,120,92) = 2^3 * 3 = 24
so, 24 bracelets will each have
3 red
5 white
8 blue