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 12, 818, 836, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 12, 818, 836, 188 is 2
GCD(12, 818, 836, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 818, 836, 188 is 2
GCD(12, 818, 836, 188) = 2
Given Input numbers are 12, 818, 836, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 12, 818, 836, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 818, 836, 188 is 2.
Therefore, GCD of numbers 12, 818, 836, 188 is 2
Given Input Data is 12, 818, 836, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 818 is 2 x 409
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 188 is 2 x 2 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(12, 818) = 4908
GCD(12, 818) = ( 12 x 818 ) / 4908
GCD(12, 818) = 9816 / 4908
GCD(12, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
GCD(2, 836) = 1672 / 836
GCD(2, 836) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
GCD(2, 188) = 376 / 188
GCD(2, 188) = 2
GCD of 12, 818, 836, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 818, 836, 188?
GCD of 12, 818, 836, 188 is 2
2. Where do I get the detailed procedure to find GCD of 12, 818, 836, 188?
You can find a detailed procedure to find GCD of 12, 818, 836, 188 on our page.
3. How to find GCD of 12, 818, 836, 188 on a calculator?
You can find the GCD of 12, 818, 836, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.