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 204, 837, 268, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 837, 268, 676 is 1
GCD(204, 837, 268, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 837, 268, 676 is 1
GCD(204, 837, 268, 676) = 1
Given Input numbers are 204, 837, 268, 676
To find the GCD of numbers using factoring list out all the divisors of each number
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 204, 837, 268, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 837, 268, 676 is 1.
Therefore, GCD of numbers 204, 837, 268, 676 is 1
Given Input Data is 204, 837, 268, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(204, 837) = 56916
GCD(204, 837) = ( 204 x 837 ) / 56916
GCD(204, 837) = 170748 / 56916
GCD(204, 837) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 268) = 804
GCD(3, 268) = ( 3 x 268 ) / 804
GCD(3, 268) = 804 / 804
GCD(3, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 204, 837, 268, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 837, 268, 676?
GCD of 204, 837, 268, 676 is 1
2. Where do I get the detailed procedure to find GCD of 204, 837, 268, 676?
You can find a detailed procedure to find GCD of 204, 837, 268, 676 on our page.
3. How to find GCD of 204, 837, 268, 676 on a calculator?
You can find the GCD of 204, 837, 268, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.