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 989, 631, 724, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 631, 724, 589 is 1
GCD(989, 631, 724, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 631, 724, 589 is 1
GCD(989, 631, 724, 589) = 1
Given Input numbers are 989, 631, 724, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 989, 631, 724, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 631, 724, 589 is 1.
Therefore, GCD of numbers 989, 631, 724, 589 is 1
Given Input Data is 989, 631, 724, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 631 is 631
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 589 is 19 x 31
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(989, 631) = 624059
GCD(989, 631) = ( 989 x 631 ) / 624059
GCD(989, 631) = 624059 / 624059
GCD(989, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 989, 631, 724, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 631, 724, 589?
GCD of 989, 631, 724, 589 is 1
2. Where do I get the detailed procedure to find GCD of 989, 631, 724, 589?
You can find a detailed procedure to find GCD of 989, 631, 724, 589 on our page.
3. How to find GCD of 989, 631, 724, 589 on a calculator?
You can find the GCD of 989, 631, 724, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.