GCD of 132, 212, 156 Calculator

Given Input numbers are 132, 212, 156

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 132, 212, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 212, 156 is 4.

Therefore, GCD of numbers 132, 212, 156 is 4

Given Input Data is 132, 212, 156

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(132, 212) = 6996

GCD(132, 212) = ( 132 x 212 ) / 6996

GCD(132, 212) = 27984 / 6996

GCD(132, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 156

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

GCD(4, 156) = 624 / 156

GCD(4, 156) = 4

GCD of 132, 212, 156 is 4

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1. What is the GCD of 132, 212, 156?

GCD of 132, 212, 156 is 4

2. Where do I get the detailed procedure to find GCD of 132, 212, 156?

You can find a detailed procedure to find GCD of 132, 212, 156 on our page.

3. How to find GCD of 132, 212, 156 on a calculator?

You can find the GCD of 132, 212, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.