GCD of 204, 522, 130, 207 Calculator

Given Input numbers are 204, 522, 130, 207

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 204, 522, 130, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 522, 130, 207 is 1.

Therefore, GCD of numbers 204, 522, 130, 207 is 1

Given Input Data is 204, 522, 130, 207

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 207 is 3 x 3 x 23

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, 522) = 17748

GCD(204, 522) = ( 204 x 522 ) / 17748

GCD(204, 522) = 106488 / 17748

GCD(204, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 130

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

LCM(6, 130) = 390

GCD(6, 130) = ( 6 x 130 ) / 390

GCD(6, 130) = 780 / 390

GCD(6, 130) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

GCD of 204, 522, 130, 207 is 1

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• GCD of 378, 452, 230, 232
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• GCD of 894, 165, 433, 770

1. What is the GCD of 204, 522, 130, 207?

GCD of 204, 522, 130, 207 is 1

2. Where do I get the detailed procedure to find GCD of 204, 522, 130, 207?

You can find a detailed procedure to find GCD of 204, 522, 130, 207 on our page.

3. How to find GCD of 204, 522, 130, 207 on a calculator?

You can find the GCD of 204, 522, 130, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.