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 26, 968, 403, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 968, 403, 123 is 1
GCD(26, 968, 403, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 968, 403, 123 is 1
GCD(26, 968, 403, 123) = 1
Given Input numbers are 26, 968, 403, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 26, 968, 403, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 968, 403, 123 is 1.
Therefore, GCD of numbers 26, 968, 403, 123 is 1
Given Input Data is 26, 968, 403, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 403 is 13 x 31
Prime Factorization of 123 is 3 x 41
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(26, 968) = 12584
GCD(26, 968) = ( 26 x 968 ) / 12584
GCD(26, 968) = 25168 / 12584
GCD(26, 968) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 403) = 806
GCD(2, 403) = ( 2 x 403 ) / 806
GCD(2, 403) = 806 / 806
GCD(2, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 26, 968, 403, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 968, 403, 123?
GCD of 26, 968, 403, 123 is 1
2. Where do I get the detailed procedure to find GCD of 26, 968, 403, 123?
You can find a detailed procedure to find GCD of 26, 968, 403, 123 on our page.
3. How to find GCD of 26, 968, 403, 123 on a calculator?
You can find the GCD of 26, 968, 403, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.