GCD of 514, 568, 13, 129 Calculator

Given Input numbers are 514, 568, 13, 129

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 514, 568, 13, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 568, 13, 129 is 1.

Therefore, GCD of numbers 514, 568, 13, 129 is 1

Given Input Data is 514, 568, 13, 129

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 13 is 13

Prime Factorization of 129 is 3 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(514, 568) = 145976

GCD(514, 568) = ( 514 x 568 ) / 145976

GCD(514, 568) = 291952 / 145976

GCD(514, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 514, 568, 13, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 189, 57, 601
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• GCD of 629, 900, 10, 158
• GCD of 164, 312, 63, 846

1. What is the GCD of 514, 568, 13, 129?

GCD of 514, 568, 13, 129 is 1

2. Where do I get the detailed procedure to find GCD of 514, 568, 13, 129?

You can find a detailed procedure to find GCD of 514, 568, 13, 129 on our page.

3. How to find GCD of 514, 568, 13, 129 on a calculator?

You can find the GCD of 514, 568, 13, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.