GCD of 557, 138, 317, 604 Calculator

Given Input numbers are 557, 138, 317, 604

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 557, 138, 317, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 138, 317, 604 is 1.

Therefore, GCD of numbers 557, 138, 317, 604 is 1

Given Input Data is 557, 138, 317, 604

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

Prime Factorization of 557 is 557

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 317 is 317

Prime Factorization of 604 is 2 x 2 x 151

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(557, 138) = 76866

GCD(557, 138) = ( 557 x 138 ) / 76866

GCD(557, 138) = 76866 / 76866

GCD(557, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 557, 138, 317, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 794, 578, 940
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1. What is the GCD of 557, 138, 317, 604?

GCD of 557, 138, 317, 604 is 1

2. Where do I get the detailed procedure to find GCD of 557, 138, 317, 604?

You can find a detailed procedure to find GCD of 557, 138, 317, 604 on our page.

3. How to find GCD of 557, 138, 317, 604 on a calculator?

You can find the GCD of 557, 138, 317, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.