GCD of 313, 351, 813, 129 Calculator

Given Input numbers are 313, 351, 813, 129

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

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 313, 351, 813, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 351, 813, 129 is 1.

Therefore, GCD of numbers 313, 351, 813, 129 is 1

Given Input Data is 313, 351, 813, 129

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

Prime Factorization of 313 is 313

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 813 is 3 x 271

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(313, 351) = 109863

GCD(313, 351) = ( 313 x 351 ) / 109863

GCD(313, 351) = 109863 / 109863

GCD(313, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 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 313, 351, 813, 129 is 1

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1. What is the GCD of 313, 351, 813, 129?

GCD of 313, 351, 813, 129 is 1

2. Where do I get the detailed procedure to find GCD of 313, 351, 813, 129?

You can find a detailed procedure to find GCD of 313, 351, 813, 129 on our page.

3. How to find GCD of 313, 351, 813, 129 on a calculator?

You can find the GCD of 313, 351, 813, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.