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, 722, 879, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 722, 879, 710 is 1
GCD(589, 722, 879, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 722, 879, 710 is 1
GCD(589, 722, 879, 710) = 1
Given Input numbers are 589, 722, 879, 710
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 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 589, 722, 879, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 722, 879, 710 is 1.
Therefore, GCD of numbers 589, 722, 879, 710 is 1
Given Input Data is 589, 722, 879, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 879 is 3 x 293
Prime Factorization of 710 is 2 x 5 x 71
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, 722) = 22382
GCD(589, 722) = ( 589 x 722 ) / 22382
GCD(589, 722) = 425258 / 22382
GCD(589, 722) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 879) = 16701
GCD(19, 879) = ( 19 x 879 ) / 16701
GCD(19, 879) = 16701 / 16701
GCD(19, 879) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 589, 722, 879, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 722, 879, 710?
GCD of 589, 722, 879, 710 is 1
2. Where do I get the detailed procedure to find GCD of 589, 722, 879, 710?
You can find a detailed procedure to find GCD of 589, 722, 879, 710 on our page.
3. How to find GCD of 589, 722, 879, 710 on a calculator?
You can find the GCD of 589, 722, 879, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.