GCD of 537, 591, 388, 598 Calculator

Given Input numbers are 537, 591, 388, 598

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 537, 591, 388, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 591, 388, 598 is 1.

Therefore, GCD of numbers 537, 591, 388, 598 is 1

Given Input Data is 537, 591, 388, 598

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 591 is 3 x 197

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 598 is 2 x 13 x 23

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(537, 591) = 105789

GCD(537, 591) = ( 537 x 591 ) / 105789

GCD(537, 591) = 317367 / 105789

GCD(537, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 388

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

LCM(3, 388) = 1164

GCD(3, 388) = ( 3 x 388 ) / 1164

GCD(3, 388) = 1164 / 1164

GCD(3, 388) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 537, 591, 388, 598 is 1

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1. What is the GCD of 537, 591, 388, 598?

GCD of 537, 591, 388, 598 is 1

2. Where do I get the detailed procedure to find GCD of 537, 591, 388, 598?

You can find a detailed procedure to find GCD of 537, 591, 388, 598 on our page.

3. How to find GCD of 537, 591, 388, 598 on a calculator?

You can find the GCD of 537, 591, 388, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.