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 636, 868, 23, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 868, 23, 790 is 1
GCD(636, 868, 23, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 868, 23, 790 is 1
GCD(636, 868, 23, 790) = 1
Given Input numbers are 636, 868, 23, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 636, 868, 23, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 868, 23, 790 is 1.
Therefore, GCD of numbers 636, 868, 23, 790 is 1
Given Input Data is 636, 868, 23, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 23 is 23
Prime Factorization of 790 is 2 x 5 x 79
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(636, 868) = 138012
GCD(636, 868) = ( 636 x 868 ) / 138012
GCD(636, 868) = 552048 / 138012
GCD(636, 868) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 23) = 92
GCD(4, 23) = ( 4 x 23 ) / 92
GCD(4, 23) = 92 / 92
GCD(4, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 636, 868, 23, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 868, 23, 790?
GCD of 636, 868, 23, 790 is 1
2. Where do I get the detailed procedure to find GCD of 636, 868, 23, 790?
You can find a detailed procedure to find GCD of 636, 868, 23, 790 on our page.
3. How to find GCD of 636, 868, 23, 790 on a calculator?
You can find the GCD of 636, 868, 23, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.