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 131, 891, 74, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 891, 74, 676 is 1
GCD(131, 891, 74, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 891, 74, 676 is 1
GCD(131, 891, 74, 676) = 1
Given Input numbers are 131, 891, 74, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 131, 891, 74, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 891, 74, 676 is 1.
Therefore, GCD of numbers 131, 891, 74, 676 is 1
Given Input Data is 131, 891, 74, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 74 is 2 x 37
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(131, 891) = 116721
GCD(131, 891) = ( 131 x 891 ) / 116721
GCD(131, 891) = 116721 / 116721
GCD(131, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 131, 891, 74, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 891, 74, 676?
GCD of 131, 891, 74, 676 is 1
2. Where do I get the detailed procedure to find GCD of 131, 891, 74, 676?
You can find a detailed procedure to find GCD of 131, 891, 74, 676 on our page.
3. How to find GCD of 131, 891, 74, 676 on a calculator?
You can find the GCD of 131, 891, 74, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.