GCD of 132, 984, 204 Calculator

Given Input numbers are 132, 984, 204

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 132, 984, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 984, 204 is 12.

Therefore, GCD of numbers 132, 984, 204 is 12

Given Input Data is 132, 984, 204

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 204 is 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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, 984) = 10824

GCD(132, 984) = ( 132 x 984 ) / 10824

GCD(132, 984) = 129888 / 10824

GCD(132, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 204

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

LCM(12, 204) = 204

GCD(12, 204) = ( 12 x 204 ) / 204

GCD(12, 204) = 2448 / 204

GCD(12, 204) = 12

GCD of 132, 984, 204 is 12

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1. What is the GCD of 132, 984, 204?

GCD of 132, 984, 204 is 12

2. Where do I get the detailed procedure to find GCD of 132, 984, 204?

You can find a detailed procedure to find GCD of 132, 984, 204 on our page.

3. How to find GCD of 132, 984, 204 on a calculator?

You can find the GCD of 132, 984, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.