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 959, 596, 26, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 596, 26, 678 is 1
GCD(959, 596, 26, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 596, 26, 678 is 1
GCD(959, 596, 26, 678) = 1
Given Input numbers are 959, 596, 26, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 959, 596, 26, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 596, 26, 678 is 1.
Therefore, GCD of numbers 959, 596, 26, 678 is 1
Given Input Data is 959, 596, 26, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 26 is 2 x 13
Prime Factorization of 678 is 2 x 3 x 113
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(959, 596) = 571564
GCD(959, 596) = ( 959 x 596 ) / 571564
GCD(959, 596) = 571564 / 571564
GCD(959, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 26) = 26
GCD(1, 26) = ( 1 x 26 ) / 26
GCD(1, 26) = 26 / 26
GCD(1, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 959, 596, 26, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 596, 26, 678?
GCD of 959, 596, 26, 678 is 1
2. Where do I get the detailed procedure to find GCD of 959, 596, 26, 678?
You can find a detailed procedure to find GCD of 959, 596, 26, 678 on our page.
3. How to find GCD of 959, 596, 26, 678 on a calculator?
You can find the GCD of 959, 596, 26, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.