GCD of 924, 204, 84 Calculator

Given Input numbers are 924, 204, 84

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 924, 204, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 204, 84 is 12.

Therefore, GCD of numbers 924, 204, 84 is 12

Given Input Data is 924, 204, 84

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(924, 204) = 15708

GCD(924, 204) = ( 924 x 204 ) / 15708

GCD(924, 204) = 188496 / 15708

GCD(924, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 84

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

LCM(12, 84) = 84

GCD(12, 84) = ( 12 x 84 ) / 84

GCD(12, 84) = 1008 / 84

GCD(12, 84) = 12

GCD of 924, 204, 84 is 12

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1. What is the GCD of 924, 204, 84?

GCD of 924, 204, 84 is 12

2. Where do I get the detailed procedure to find GCD of 924, 204, 84?

You can find a detailed procedure to find GCD of 924, 204, 84 on our page.

3. How to find GCD of 924, 204, 84 on a calculator?

You can find the GCD of 924, 204, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.