GCD of 868, 462, 521, 204 Calculator

Given Input numbers are 868, 462, 521, 204

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

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 868, 462, 521, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 462, 521, 204 is 1.

Therefore, GCD of numbers 868, 462, 521, 204 is 1

Given Input Data is 868, 462, 521, 204

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 521 is 521

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

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(868, 462) = 28644

GCD(868, 462) = ( 868 x 462 ) / 28644

GCD(868, 462) = 401016 / 28644

GCD(868, 462) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 521

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

LCM(14, 521) = 7294

GCD(14, 521) = ( 14 x 521 ) / 7294

GCD(14, 521) = 7294 / 7294

GCD(14, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 868, 462, 521, 204 is 1

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1. What is the GCD of 868, 462, 521, 204?

GCD of 868, 462, 521, 204 is 1

2. Where do I get the detailed procedure to find GCD of 868, 462, 521, 204?

You can find a detailed procedure to find GCD of 868, 462, 521, 204 on our page.

3. How to find GCD of 868, 462, 521, 204 on a calculator?

You can find the GCD of 868, 462, 521, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.