GCD of 589, 493, 231, 425 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 589, 493, 231, 425 i.e. 1 largest integer that divides all the numbers equally.

GCD of 589, 493, 231, 425 is 1

GCD(589, 493, 231, 425) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 589, 493, 231, 425 is 1

GCD(589, 493, 231, 425) = 1

GCD of 589,493,231,425 Calculator

GCDof 589,493,231,425 is 1

Given Input numbers are 589, 493, 231, 425

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 589, 493, 231, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 493, 231, 425 is 1.

Therefore, GCD of numbers 589, 493, 231, 425 is 1

Finding GCD of 589, 493, 231, 425 using Prime Factorization

Given Input Data is 589, 493, 231, 425

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 493 is 17 x 29

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 425 is 5 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 589, 493, 231, 425 using LCM Formula

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(589, 493) = 290377

GCD(589, 493) = ( 589 x 493 ) / 290377

GCD(589, 493) = 290377 / 290377

GCD(589, 493) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 589, 493, 231, 425 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 589, 493, 231, 425

1. What is the GCD of 589, 493, 231, 425?

GCD of 589, 493, 231, 425 is 1


2. Where do I get the detailed procedure to find GCD of 589, 493, 231, 425?

You can find a detailed procedure to find GCD of 589, 493, 231, 425 on our page.


3. How to find GCD of 589, 493, 231, 425 on a calculator?

You can find the GCD of 589, 493, 231, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.