GCD of 708, 129, 187, 589 Calculator

Given Input numbers are 708, 129, 187, 589

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 708, 129, 187, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 129, 187, 589 is 1.

Therefore, GCD of numbers 708, 129, 187, 589 is 1

Given Input Data is 708, 129, 187, 589

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 129 is 3 x 43

Prime Factorization of 187 is 11 x 17

Prime Factorization of 589 is 19 x 31

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(708, 129) = 30444

GCD(708, 129) = ( 708 x 129 ) / 30444

GCD(708, 129) = 91332 / 30444

GCD(708, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 187

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 187) = 561

GCD(3, 187) = ( 3 x 187 ) / 561

GCD(3, 187) = 561 / 561

GCD(3, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 708, 129, 187, 589 is 1

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1. What is the GCD of 708, 129, 187, 589?

GCD of 708, 129, 187, 589 is 1

2. Where do I get the detailed procedure to find GCD of 708, 129, 187, 589?

You can find a detailed procedure to find GCD of 708, 129, 187, 589 on our page.

3. How to find GCD of 708, 129, 187, 589 on a calculator?

You can find the GCD of 708, 129, 187, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.