GCD of 259, 738, 129, 389 Calculator

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

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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.