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 591, 991, 31, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 991, 31, 502 is 1
GCD(591, 991, 31, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 991, 31, 502 is 1
GCD(591, 991, 31, 502) = 1
Given Input numbers are 591, 991, 31, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 591, 991, 31, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 991, 31, 502 is 1.
Therefore, GCD of numbers 591, 991, 31, 502 is 1
Given Input Data is 591, 991, 31, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 991 is 991
Prime Factorization of 31 is 31
Prime Factorization of 502 is 2 x 251
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(591, 991) = 585681
GCD(591, 991) = ( 591 x 991 ) / 585681
GCD(591, 991) = 585681 / 585681
GCD(591, 991) = 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 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 591, 991, 31, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 991, 31, 502?
GCD of 591, 991, 31, 502 is 1
2. Where do I get the detailed procedure to find GCD of 591, 991, 31, 502?
You can find a detailed procedure to find GCD of 591, 991, 31, 502 on our page.
3. How to find GCD of 591, 991, 31, 502 on a calculator?
You can find the GCD of 591, 991, 31, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.