GCD of 204, 921, 809, 915 Calculator

Given Input numbers are 204, 921, 809, 915

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 204, 921, 809, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 921, 809, 915 is 1.

Therefore, GCD of numbers 204, 921, 809, 915 is 1

Given Input Data is 204, 921, 809, 915

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 921 is 3 x 307

Prime Factorization of 809 is 809

Prime Factorization of 915 is 3 x 5 x 61

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, 921) = 62628

GCD(204, 921) = ( 204 x 921 ) / 62628

GCD(204, 921) = 187884 / 62628

GCD(204, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 809

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

LCM(3, 809) = 2427

GCD(3, 809) = ( 3 x 809 ) / 2427

GCD(3, 809) = 2427 / 2427

GCD(3, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 204, 921, 809, 915 is 1

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1. What is the GCD of 204, 921, 809, 915?

GCD of 204, 921, 809, 915 is 1

2. Where do I get the detailed procedure to find GCD of 204, 921, 809, 915?

You can find a detailed procedure to find GCD of 204, 921, 809, 915 on our page.

3. How to find GCD of 204, 921, 809, 915 on a calculator?

You can find the GCD of 204, 921, 809, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.