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, 938, 522, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 938, 522, 843 is 1
GCD(838, 938, 522, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 938, 522, 843 is 1
GCD(838, 938, 522, 843) = 1
Given Input numbers are 838, 938, 522, 843
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 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 838, 938, 522, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 938, 522, 843 is 1.
Therefore, GCD of numbers 838, 938, 522, 843 is 1
Given Input Data is 838, 938, 522, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 843 is 3 x 281
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, 938) = 393022
GCD(838, 938) = ( 838 x 938 ) / 393022
GCD(838, 938) = 786044 / 393022
GCD(838, 938) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
GCD(2, 522) = 1044 / 522
GCD(2, 522) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 843) = 1686
GCD(2, 843) = ( 2 x 843 ) / 1686
GCD(2, 843) = 1686 / 1686
GCD(2, 843) = 1
GCD of 838, 938, 522, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 938, 522, 843?
GCD of 838, 938, 522, 843 is 1
2. Where do I get the detailed procedure to find GCD of 838, 938, 522, 843?
You can find a detailed procedure to find GCD of 838, 938, 522, 843 on our page.
3. How to find GCD of 838, 938, 522, 843 on a calculator?
You can find the GCD of 838, 938, 522, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.