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 994, 129, 204, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 129, 204, 868 is 1
GCD(994, 129, 204, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 129, 204, 868 is 1
GCD(994, 129, 204, 868) = 1
Given Input numbers are 994, 129, 204, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 994, 129, 204, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 129, 204, 868 is 1.
Therefore, GCD of numbers 994, 129, 204, 868 is 1
Given Input Data is 994, 129, 204, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 129 is 3 x 43
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(994, 129) = 128226
GCD(994, 129) = ( 994 x 129 ) / 128226
GCD(994, 129) = 128226 / 128226
GCD(994, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 994, 129, 204, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 129, 204, 868?
GCD of 994, 129, 204, 868 is 1
2. Where do I get the detailed procedure to find GCD of 994, 129, 204, 868?
You can find a detailed procedure to find GCD of 994, 129, 204, 868 on our page.
3. How to find GCD of 994, 129, 204, 868 on a calculator?
You can find the GCD of 994, 129, 204, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.