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 939, 831, 21, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 831, 21, 638 is 1
GCD(939, 831, 21, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 831, 21, 638 is 1
GCD(939, 831, 21, 638) = 1
Given Input numbers are 939, 831, 21, 638
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 939, 831, 21, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 831, 21, 638 is 1.
Therefore, GCD of numbers 939, 831, 21, 638 is 1
Given Input Data is 939, 831, 21, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 831 is 3 x 277
Prime Factorization of 21 is 3 x 7
Prime Factorization of 638 is 2 x 11 x 29
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(939, 831) = 260103
GCD(939, 831) = ( 939 x 831 ) / 260103
GCD(939, 831) = 780309 / 260103
GCD(939, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 638) = 1914
GCD(3, 638) = ( 3 x 638 ) / 1914
GCD(3, 638) = 1914 / 1914
GCD(3, 638) = 1
GCD of 939, 831, 21, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 831, 21, 638?
GCD of 939, 831, 21, 638 is 1
2. Where do I get the detailed procedure to find GCD of 939, 831, 21, 638?
You can find a detailed procedure to find GCD of 939, 831, 21, 638 on our page.
3. How to find GCD of 939, 831, 21, 638 on a calculator?
You can find the GCD of 939, 831, 21, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.