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, 396, 307, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 396, 307, 991 is 1
GCD(26, 396, 307, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 396, 307, 991 is 1
GCD(26, 396, 307, 991) = 1
Given Input numbers are 26, 396, 307, 991
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 26, 396, 307, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 396, 307, 991 is 1.
Therefore, GCD of numbers 26, 396, 307, 991 is 1
Given Input Data is 26, 396, 307, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 307 is 307
Prime Factorization of 991 is 991
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, 396) = 5148
GCD(26, 396) = ( 26 x 396 ) / 5148
GCD(26, 396) = 10296 / 5148
GCD(26, 396) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
GCD(2, 307) = 614 / 614
GCD(2, 307) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 26, 396, 307, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 396, 307, 991?
GCD of 26, 396, 307, 991 is 1
2. Where do I get the detailed procedure to find GCD of 26, 396, 307, 991?
You can find a detailed procedure to find GCD of 26, 396, 307, 991 on our page.
3. How to find GCD of 26, 396, 307, 991 on a calculator?
You can find the GCD of 26, 396, 307, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.