calculate gcd of 84 and 126 — step-by-step solution

To calculate the GCD (greatest common divisor), we first decompose the numbers into prime factors.

84

2^{2} \times 3 \times 7

126

2 \times 3^{2} \times 7

Keep the common prime factors with their smallest exponent.

\gcd (84, 126)

2 \times 3 \times 7

42

▶Result:

42