GCD of 204, 868, 413, 559 Calculator

Given Input numbers are 204, 868, 413, 559

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 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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 204, 868, 413, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 868, 413, 559 is 1.

Therefore, GCD of numbers 204, 868, 413, 559 is 1

Given Input Data is 204, 868, 413, 559

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 413 is 7 x 59

Prime Factorization of 559 is 13 x 43

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, 868) = 44268

GCD(204, 868) = ( 204 x 868 ) / 44268

GCD(204, 868) = 177072 / 44268

GCD(204, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 413

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

LCM(4, 413) = 1652

GCD(4, 413) = ( 4 x 413 ) / 1652

GCD(4, 413) = 1652 / 1652

GCD(4, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 204, 868, 413, 559 is 1

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1. What is the GCD of 204, 868, 413, 559?

GCD of 204, 868, 413, 559 is 1

2. Where do I get the detailed procedure to find GCD of 204, 868, 413, 559?

You can find a detailed procedure to find GCD of 204, 868, 413, 559 on our page.

3. How to find GCD of 204, 868, 413, 559 on a calculator?

You can find the GCD of 204, 868, 413, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.