find the greatest common divisor of the set 84132156Solution

find the greatest common divisor of the set {84,132,156}

Doing prime factorization:

84 = 2^2 * 3 * 7

132 = 2^2 * 3 * 11

156 = 2^2 * 3 * 13

The greatest power of 2 common to all is 2^2.

The greatest power of 3 common to all is 3^1 or 3.

There are no other common factors.

Thus, the greatest common divisor is

2^2 * 3 = 12 [ANSWER]

$find the greatest common divisor of the set {84,132,156}SolutionDoing prime factorization: 84 = 2^2 * 3 * 7 132 = 2^2 * 3 * 11 156 = 2^2 * 3 * 13 The greatest p$

find the greatest common divisor of the set 84132156Solution

Solution

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