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, 186, 866, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 186, 866, 113 is 1
GCD(36, 186, 866, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 186, 866, 113 is 1
GCD(36, 186, 866, 113) = 1
Given Input numbers are 36, 186, 866, 113
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 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 36, 186, 866, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 186, 866, 113 is 1.
Therefore, GCD of numbers 36, 186, 866, 113 is 1
Given Input Data is 36, 186, 866, 113
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 186 is 2 x 3 x 31
Prime Factorization of 866 is 2 x 433
Prime Factorization of 113 is 113
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, 186) = 1116
GCD(36, 186) = ( 36 x 186 ) / 1116
GCD(36, 186) = 6696 / 1116
GCD(36, 186) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 866) = 2598
GCD(6, 866) = ( 6 x 866 ) / 2598
GCD(6, 866) = 5196 / 2598
GCD(6, 866) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 113) = 226
GCD(2, 113) = ( 2 x 113 ) / 226
GCD(2, 113) = 226 / 226
GCD(2, 113) = 1
GCD of 36, 186, 866, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 186, 866, 113?
GCD of 36, 186, 866, 113 is 1
2. Where do I get the detailed procedure to find GCD of 36, 186, 866, 113?
You can find a detailed procedure to find GCD of 36, 186, 866, 113 on our page.
3. How to find GCD of 36, 186, 866, 113 on a calculator?
You can find the GCD of 36, 186, 866, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.