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 644, 399, 12 i.e. 1 largest integer that divides all the numbers equally.
GCD of 644, 399, 12 is 1
GCD(644, 399, 12) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 399, 12 is 1
GCD(644, 399, 12) = 1
Given Input numbers are 644, 399, 12
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Greatest Common Divisior
We found the divisors of 644, 399, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 399, 12 is 1.
Therefore, GCD of numbers 644, 399, 12 is 1
Given Input Data is 644, 399, 12
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 12 is 2 x 2 x 3
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(644, 399) = 36708
GCD(644, 399) = ( 644 x 399 ) / 36708
GCD(644, 399) = 256956 / 36708
GCD(644, 399) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 12) = 84
GCD(7, 12) = ( 7 x 12 ) / 84
GCD(7, 12) = 84 / 84
GCD(7, 12) = 1
GCD of 644, 399, 12 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 399, 12?
GCD of 644, 399, 12 is 1
2. Where do I get the detailed procedure to find GCD of 644, 399, 12?
You can find a detailed procedure to find GCD of 644, 399, 12 on our page.
3. How to find GCD of 644, 399, 12 on a calculator?
You can find the GCD of 644, 399, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.