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 838, 122, 638, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 122, 638, 427 is 1
GCD(838, 122, 638, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 122, 638, 427 is 1
GCD(838, 122, 638, 427) = 1
Given Input numbers are 838, 122, 638, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 838, 122, 638, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 122, 638, 427 is 1.
Therefore, GCD of numbers 838, 122, 638, 427 is 1
Given Input Data is 838, 122, 638, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 122 is 2 x 61
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 427 is 7 x 61
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(838, 122) = 51118
GCD(838, 122) = ( 838 x 122 ) / 51118
GCD(838, 122) = 102236 / 51118
GCD(838, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
GCD(2, 638) = 1276 / 638
GCD(2, 638) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 427) = 854
GCD(2, 427) = ( 2 x 427 ) / 854
GCD(2, 427) = 854 / 854
GCD(2, 427) = 1
GCD of 838, 122, 638, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 122, 638, 427?
GCD of 838, 122, 638, 427 is 1
2. Where do I get the detailed procedure to find GCD of 838, 122, 638, 427?
You can find a detailed procedure to find GCD of 838, 122, 638, 427 on our page.
3. How to find GCD of 838, 122, 638, 427 on a calculator?
You can find the GCD of 838, 122, 638, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.