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 22, 684, 979, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 684, 979, 968 is 1
GCD(22, 684, 979, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 684, 979, 968 is 1
GCD(22, 684, 979, 968) = 1
Given Input numbers are 22, 684, 979, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 22, 684, 979, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 684, 979, 968 is 1.
Therefore, GCD of numbers 22, 684, 979, 968 is 1
Given Input Data is 22, 684, 979, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 979 is 11 x 89
Prime Factorization of 968 is 2 x 2 x 2 x 11 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(22, 684) = 7524
GCD(22, 684) = ( 22 x 684 ) / 7524
GCD(22, 684) = 15048 / 7524
GCD(22, 684) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 979) = 1958
GCD(2, 979) = ( 2 x 979 ) / 1958
GCD(2, 979) = 1958 / 1958
GCD(2, 979) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 22, 684, 979, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 684, 979, 968?
GCD of 22, 684, 979, 968 is 1
2. Where do I get the detailed procedure to find GCD of 22, 684, 979, 968?
You can find a detailed procedure to find GCD of 22, 684, 979, 968 on our page.
3. How to find GCD of 22, 684, 979, 968 on a calculator?
You can find the GCD of 22, 684, 979, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.