GCD of 204, 588, 209, 912 Calculator

Given Input numbers are 204, 588, 209, 912

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

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 204, 588, 209, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 588, 209, 912 is 1.

Therefore, GCD of numbers 204, 588, 209, 912 is 1

Given Input Data is 204, 588, 209, 912

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

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 209 is 11 x 19

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(204, 588) = 9996

GCD(204, 588) = ( 204 x 588 ) / 9996

GCD(204, 588) = 119952 / 9996

GCD(204, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 209

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

LCM(12, 209) = 2508

GCD(12, 209) = ( 12 x 209 ) / 2508

GCD(12, 209) = 2508 / 2508

GCD(12, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 204, 588, 209, 912 is 1

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1. What is the GCD of 204, 588, 209, 912?

GCD of 204, 588, 209, 912 is 1

2. Where do I get the detailed procedure to find GCD of 204, 588, 209, 912?

You can find a detailed procedure to find GCD of 204, 588, 209, 912 on our page.

3. How to find GCD of 204, 588, 209, 912 on a calculator?

You can find the GCD of 204, 588, 209, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.