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 291, 793, 31, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 793, 31, 959 is 1
GCD(291, 793, 31, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 793, 31, 959 is 1
GCD(291, 793, 31, 959) = 1
Given Input numbers are 291, 793, 31, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 291, 793, 31, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 793, 31, 959 is 1.
Therefore, GCD of numbers 291, 793, 31, 959 is 1
Given Input Data is 291, 793, 31, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 793 is 13 x 61
Prime Factorization of 31 is 31
Prime Factorization of 959 is 7 x 137
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(291, 793) = 230763
GCD(291, 793) = ( 291 x 793 ) / 230763
GCD(291, 793) = 230763 / 230763
GCD(291, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 291, 793, 31, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 793, 31, 959?
GCD of 291, 793, 31, 959 is 1
2. Where do I get the detailed procedure to find GCD of 291, 793, 31, 959?
You can find a detailed procedure to find GCD of 291, 793, 31, 959 on our page.
3. How to find GCD of 291, 793, 31, 959 on a calculator?
You can find the GCD of 291, 793, 31, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.