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 numbers 589, 493, 231, 425 is 1
GCD(589, 493, 231, 425) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.