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 108, 813, 879, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 813, 879, 392 is 1
GCD(108, 813, 879, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 813, 879, 392 is 1
GCD(108, 813, 879, 392) = 1
Given Input numbers are 108, 813, 879, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 108, 813, 879, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 813, 879, 392 is 1.
Therefore, GCD of numbers 108, 813, 879, 392 is 1
Given Input Data is 108, 813, 879, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 813 is 3 x 271
Prime Factorization of 879 is 3 x 293
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(108, 813) = 29268
GCD(108, 813) = ( 108 x 813 ) / 29268
GCD(108, 813) = 87804 / 29268
GCD(108, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
GCD(3, 879) = 2637 / 879
GCD(3, 879) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 392) = 1176
GCD(3, 392) = ( 3 x 392 ) / 1176
GCD(3, 392) = 1176 / 1176
GCD(3, 392) = 1
GCD of 108, 813, 879, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 813, 879, 392?
GCD of 108, 813, 879, 392 is 1
2. Where do I get the detailed procedure to find GCD of 108, 813, 879, 392?
You can find a detailed procedure to find GCD of 108, 813, 879, 392 on our page.
3. How to find GCD of 108, 813, 879, 392 on a calculator?
You can find the GCD of 108, 813, 879, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.