Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
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.
