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, 251, 85, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 251, 85, 421 is 1
GCD(838, 251, 85, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 251, 85, 421 is 1
GCD(838, 251, 85, 421) = 1
Given Input numbers are 838, 251, 85, 421
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 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 838, 251, 85, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 251, 85, 421 is 1.
Therefore, GCD of numbers 838, 251, 85, 421 is 1
Given Input Data is 838, 251, 85, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 251 is 251
Prime Factorization of 85 is 5 x 17
Prime Factorization of 421 is 421
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, 251) = 210338
GCD(838, 251) = ( 838 x 251 ) / 210338
GCD(838, 251) = 210338 / 210338
GCD(838, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 838, 251, 85, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 251, 85, 421?
GCD of 838, 251, 85, 421 is 1
2. Where do I get the detailed procedure to find GCD of 838, 251, 85, 421?
You can find a detailed procedure to find GCD of 838, 251, 85, 421 on our page.
3. How to find GCD of 838, 251, 85, 421 on a calculator?
You can find the GCD of 838, 251, 85, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.