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 876, 694, 328, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 694, 328, 921 is 1
GCD(876, 694, 328, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 694, 328, 921 is 1
GCD(876, 694, 328, 921) = 1
Given Input numbers are 876, 694, 328, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 876, 694, 328, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 694, 328, 921 is 1.
Therefore, GCD of numbers 876, 694, 328, 921 is 1
Given Input Data is 876, 694, 328, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 694 is 2 x 347
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 921 is 3 x 307
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(876, 694) = 303972
GCD(876, 694) = ( 876 x 694 ) / 303972
GCD(876, 694) = 607944 / 303972
GCD(876, 694) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 328) = 328
GCD(2, 328) = ( 2 x 328 ) / 328
GCD(2, 328) = 656 / 328
GCD(2, 328) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
GCD(2, 921) = 1842 / 1842
GCD(2, 921) = 1
GCD of 876, 694, 328, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 694, 328, 921?
GCD of 876, 694, 328, 921 is 1
2. Where do I get the detailed procedure to find GCD of 876, 694, 328, 921?
You can find a detailed procedure to find GCD of 876, 694, 328, 921 on our page.
3. How to find GCD of 876, 694, 328, 921 on a calculator?
You can find the GCD of 876, 694, 328, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.