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 36, 868, 885, 823 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 868, 885, 823 is 1
GCD(36, 868, 885, 823) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 868, 885, 823 is 1
GCD(36, 868, 885, 823) = 1
Given Input numbers are 36, 868, 885, 823
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Greatest Common Divisior
We found the divisors of 36, 868, 885, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 868, 885, 823 is 1.
Therefore, GCD of numbers 36, 868, 885, 823 is 1
Given Input Data is 36, 868, 885, 823
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 823 is 823
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(36, 868) = 7812
GCD(36, 868) = ( 36 x 868 ) / 7812
GCD(36, 868) = 31248 / 7812
GCD(36, 868) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 885) = 3540
GCD(4, 885) = ( 4 x 885 ) / 3540
GCD(4, 885) = 3540 / 3540
GCD(4, 885) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 823) = 823
GCD(1, 823) = ( 1 x 823 ) / 823
GCD(1, 823) = 823 / 823
GCD(1, 823) = 1
GCD of 36, 868, 885, 823 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 868, 885, 823?
GCD of 36, 868, 885, 823 is 1
2. Where do I get the detailed procedure to find GCD of 36, 868, 885, 823?
You can find a detailed procedure to find GCD of 36, 868, 885, 823 on our page.
3. How to find GCD of 36, 868, 885, 823 on a calculator?
You can find the GCD of 36, 868, 885, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.