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, 936, 874, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 936, 874, 797 is 1
GCD(31, 936, 874, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 936, 874, 797 is 1
GCD(31, 936, 874, 797) = 1
Given Input numbers are 31, 936, 874, 797
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 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 31, 936, 874, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 936, 874, 797 is 1.
Therefore, GCD of numbers 31, 936, 874, 797 is 1
Given Input Data is 31, 936, 874, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 797 is 797
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, 936) = 29016
GCD(31, 936) = ( 31 x 936 ) / 29016
GCD(31, 936) = 29016 / 29016
GCD(31, 936) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
Step3:
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
GCD of 31, 936, 874, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 936, 874, 797?
GCD of 31, 936, 874, 797 is 1
2. Where do I get the detailed procedure to find GCD of 31, 936, 874, 797?
You can find a detailed procedure to find GCD of 31, 936, 874, 797 on our page.
3. How to find GCD of 31, 936, 874, 797 on a calculator?
You can find the GCD of 31, 936, 874, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.