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, 471, 795, 836 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 471, 795, 836 is 1
GCD(12, 471, 795, 836) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 471, 795, 836 is 1
GCD(12, 471, 795, 836) = 1
Given Input numbers are 12, 471, 795, 836
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
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
Greatest Common Divisior
We found the divisors of 12, 471, 795, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 471, 795, 836 is 1.
Therefore, GCD of numbers 12, 471, 795, 836 is 1
Given Input Data is 12, 471, 795, 836
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 471 is 3 x 157
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 836 is 2 x 2 x 11 x 19
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(12, 471) = 1884
GCD(12, 471) = ( 12 x 471 ) / 1884
GCD(12, 471) = 5652 / 1884
GCD(12, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 795) = 795
GCD(3, 795) = ( 3 x 795 ) / 795
GCD(3, 795) = 2385 / 795
GCD(3, 795) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 836) = 2508
GCD(3, 836) = ( 3 x 836 ) / 2508
GCD(3, 836) = 2508 / 2508
GCD(3, 836) = 1
GCD of 12, 471, 795, 836 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 471, 795, 836?
GCD of 12, 471, 795, 836 is 1
2. Where do I get the detailed procedure to find GCD of 12, 471, 795, 836?
You can find a detailed procedure to find GCD of 12, 471, 795, 836 on our page.
3. How to find GCD of 12, 471, 795, 836 on a calculator?
You can find the GCD of 12, 471, 795, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.