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, 879, 11, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 879, 11, 110 is 1
GCD(108, 879, 11, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 879, 11, 110 is 1
GCD(108, 879, 11, 110) = 1
Given Input numbers are 108, 879, 11, 110
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 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 108, 879, 11, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 879, 11, 110 is 1.
Therefore, GCD of numbers 108, 879, 11, 110 is 1
Given Input Data is 108, 879, 11, 110
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 879 is 3 x 293
Prime Factorization of 11 is 11
Prime Factorization of 110 is 2 x 5 x 11
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, 879) = 31644
GCD(108, 879) = ( 108 x 879 ) / 31644
GCD(108, 879) = 94932 / 31644
GCD(108, 879) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 108, 879, 11, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 879, 11, 110?
GCD of 108, 879, 11, 110 is 1
2. Where do I get the detailed procedure to find GCD of 108, 879, 11, 110?
You can find a detailed procedure to find GCD of 108, 879, 11, 110 on our page.
3. How to find GCD of 108, 879, 11, 110 on a calculator?
You can find the GCD of 108, 879, 11, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.