GCD of 129, 339, 957, 519 Calculator

Given Input numbers are 129, 339, 957, 519

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

Divisors of 129

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

1, 3, 43, 129

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 129, 339, 957, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 339, 957, 519 is 3.

Therefore, GCD of numbers 129, 339, 957, 519 is 3

Given Input Data is 129, 339, 957, 519

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 339 is 3 x 113

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 519 is 3 x 173

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(129, 339) = 14577

GCD(129, 339) = ( 129 x 339 ) / 14577

GCD(129, 339) = 43731 / 14577

GCD(129, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 957

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

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

GCD(3, 957) = 2871 / 957

GCD(3, 957) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 519

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

LCM(3, 519) = 519

GCD(3, 519) = ( 3 x 519 ) / 519

GCD(3, 519) = 1557 / 519

GCD(3, 519) = 3

GCD of 129, 339, 957, 519 is 3

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1. What is the GCD of 129, 339, 957, 519?

GCD of 129, 339, 957, 519 is 3

2. Where do I get the detailed procedure to find GCD of 129, 339, 957, 519?

You can find a detailed procedure to find GCD of 129, 339, 957, 519 on our page.

3. How to find GCD of 129, 339, 957, 519 on a calculator?

You can find the GCD of 129, 339, 957, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.