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 868, 596, 531, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 868, 596, 531, 617 is 1
GCD(868, 596, 531, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 596, 531, 617 is 1
GCD(868, 596, 531, 617) = 1
Given Input numbers are 868, 596, 531, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 868, 596, 531, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 596, 531, 617 is 1.
Therefore, GCD of numbers 868, 596, 531, 617 is 1
Given Input Data is 868, 596, 531, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 617 is 617
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(868, 596) = 129332
GCD(868, 596) = ( 868 x 596 ) / 129332
GCD(868, 596) = 517328 / 129332
GCD(868, 596) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 531) = 2124
GCD(4, 531) = ( 4 x 531 ) / 2124
GCD(4, 531) = 2124 / 2124
GCD(4, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 868, 596, 531, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 868, 596, 531, 617?
GCD of 868, 596, 531, 617 is 1
2. Where do I get the detailed procedure to find GCD of 868, 596, 531, 617?
You can find a detailed procedure to find GCD of 868, 596, 531, 617 on our page.
3. How to find GCD of 868, 596, 531, 617 on a calculator?
You can find the GCD of 868, 596, 531, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.