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 259, 738, 129, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 738, 129, 389 is 1
GCD(259, 738, 129, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 738, 129, 389 is 1
GCD(259, 738, 129, 389) = 1
Given Input numbers are 259, 738, 129, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 259, 738, 129, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 738, 129, 389 is 1.
Therefore, GCD of numbers 259, 738, 129, 389 is 1
Given Input Data is 259, 738, 129, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 129 is 3 x 43
Prime Factorization of 389 is 389
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(259, 738) = 191142
GCD(259, 738) = ( 259 x 738 ) / 191142
GCD(259, 738) = 191142 / 191142
GCD(259, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
GCD of 259, 738, 129, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 738, 129, 389?
GCD of 259, 738, 129, 389 is 1
2. Where do I get the detailed procedure to find GCD of 259, 738, 129, 389?
You can find a detailed procedure to find GCD of 259, 738, 129, 389 on our page.
3. How to find GCD of 259, 738, 129, 389 on a calculator?
You can find the GCD of 259, 738, 129, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.