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 129, 926, 12, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 926, 12, 367 is 1
GCD(129, 926, 12, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 926, 12, 367 is 1
GCD(129, 926, 12, 367) = 1
Given Input numbers are 129, 926, 12, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 129, 926, 12, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 926, 12, 367 is 1.
Therefore, GCD of numbers 129, 926, 12, 367 is 1
Given Input Data is 129, 926, 12, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 926 is 2 x 463
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 367 is 367
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(129, 926) = 119454
GCD(129, 926) = ( 129 x 926 ) / 119454
GCD(129, 926) = 119454 / 119454
GCD(129, 926) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 129, 926, 12, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 926, 12, 367?
GCD of 129, 926, 12, 367 is 1
2. Where do I get the detailed procedure to find GCD of 129, 926, 12, 367?
You can find a detailed procedure to find GCD of 129, 926, 12, 367 on our page.
3. How to find GCD of 129, 926, 12, 367 on a calculator?
You can find the GCD of 129, 926, 12, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.