GCD of 575, 309, 957, 129 Calculator

Given Input numbers are 575, 309, 957, 129

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 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 575, 309, 957, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 309, 957, 129 is 1.

Therefore, GCD of numbers 575, 309, 957, 129 is 1

Given Input Data is 575, 309, 957, 129

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 309 is 3 x 103

Prime Factorization of 957 is 3 x 11 x 29

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(575, 309) = 177675

GCD(575, 309) = ( 575 x 309 ) / 177675

GCD(575, 309) = 177675 / 177675

GCD(575, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 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 575, 309, 957, 129 is 1

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1. What is the GCD of 575, 309, 957, 129?

GCD of 575, 309, 957, 129 is 1

2. Where do I get the detailed procedure to find GCD of 575, 309, 957, 129?

You can find a detailed procedure to find GCD of 575, 309, 957, 129 on our page.

3. How to find GCD of 575, 309, 957, 129 on a calculator?

You can find the GCD of 575, 309, 957, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.