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 931, 422, 47, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 422, 47, 309 is 1
GCD(931, 422, 47, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 422, 47, 309 is 1
GCD(931, 422, 47, 309) = 1
Given Input numbers are 931, 422, 47, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 931, 422, 47, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 422, 47, 309 is 1.
Therefore, GCD of numbers 931, 422, 47, 309 is 1
Given Input Data is 931, 422, 47, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 422 is 2 x 211
Prime Factorization of 47 is 47
Prime Factorization of 309 is 3 x 103
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(931, 422) = 392882
GCD(931, 422) = ( 931 x 422 ) / 392882
GCD(931, 422) = 392882 / 392882
GCD(931, 422) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 931, 422, 47, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 422, 47, 309?
GCD of 931, 422, 47, 309 is 1
2. Where do I get the detailed procedure to find GCD of 931, 422, 47, 309?
You can find a detailed procedure to find GCD of 931, 422, 47, 309 on our page.
3. How to find GCD of 931, 422, 47, 309 on a calculator?
You can find the GCD of 931, 422, 47, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.