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, 311, 29, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 311, 29, 301 is 1
GCD(931, 311, 29, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 311, 29, 301 is 1
GCD(931, 311, 29, 301) = 1
Given Input numbers are 931, 311, 29, 301
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 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 931, 311, 29, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 311, 29, 301 is 1.
Therefore, GCD of numbers 931, 311, 29, 301 is 1
Given Input Data is 931, 311, 29, 301
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 311 is 311
Prime Factorization of 29 is 29
Prime Factorization of 301 is 7 x 43
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, 311) = 289541
GCD(931, 311) = ( 931 x 311 ) / 289541
GCD(931, 311) = 289541 / 289541
GCD(931, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 931, 311, 29, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 311, 29, 301?
GCD of 931, 311, 29, 301 is 1
2. Where do I get the detailed procedure to find GCD of 931, 311, 29, 301?
You can find a detailed procedure to find GCD of 931, 311, 29, 301 on our page.
3. How to find GCD of 931, 311, 29, 301 on a calculator?
You can find the GCD of 931, 311, 29, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.