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 31, 331, 797, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 331, 797, 921 is 1
GCD(31, 331, 797, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 331, 797, 921 is 1
GCD(31, 331, 797, 921) = 1
Given Input numbers are 31, 331, 797, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 31, 331, 797, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 331, 797, 921 is 1.
Therefore, GCD of numbers 31, 331, 797, 921 is 1
Given Input Data is 31, 331, 797, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 331 is 331
Prime Factorization of 797 is 797
Prime Factorization of 921 is 3 x 307
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(31, 331) = 10261
GCD(31, 331) = ( 31 x 331 ) / 10261
GCD(31, 331) = 10261 / 10261
GCD(31, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 31, 331, 797, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 331, 797, 921?
GCD of 31, 331, 797, 921 is 1
2. Where do I get the detailed procedure to find GCD of 31, 331, 797, 921?
You can find a detailed procedure to find GCD of 31, 331, 797, 921 on our page.
3. How to find GCD of 31, 331, 797, 921 on a calculator?
You can find the GCD of 31, 331, 797, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.