GCD of 395, 272, 557, 331 Calculator

Given Input numbers are 395, 272, 557, 331

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 557

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

1, 557

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 395, 272, 557, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 272, 557, 331 is 1.

Therefore, GCD of numbers 395, 272, 557, 331 is 1

Given Input Data is 395, 272, 557, 331

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 557 is 557

Prime Factorization of 331 is 331

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(395, 272) = 107440

GCD(395, 272) = ( 395 x 272 ) / 107440

GCD(395, 272) = 107440 / 107440

GCD(395, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 395, 272, 557, 331 is 1

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1. What is the GCD of 395, 272, 557, 331?

GCD of 395, 272, 557, 331 is 1

2. Where do I get the detailed procedure to find GCD of 395, 272, 557, 331?

You can find a detailed procedure to find GCD of 395, 272, 557, 331 on our page.

3. How to find GCD of 395, 272, 557, 331 on a calculator?

You can find the GCD of 395, 272, 557, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.