GCD of 589, 424, 59, 808 Calculator

Given Input numbers are 589, 424, 59, 808

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 589, 424, 59, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 424, 59, 808 is 1.

Therefore, GCD of numbers 589, 424, 59, 808 is 1

Given Input Data is 589, 424, 59, 808

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 59 is 59

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(589, 424) = 249736

GCD(589, 424) = ( 589 x 424 ) / 249736

GCD(589, 424) = 249736 / 249736

GCD(589, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 589, 424, 59, 808 is 1

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1. What is the GCD of 589, 424, 59, 808?

GCD of 589, 424, 59, 808 is 1

2. Where do I get the detailed procedure to find GCD of 589, 424, 59, 808?

You can find a detailed procedure to find GCD of 589, 424, 59, 808 on our page.

3. How to find GCD of 589, 424, 59, 808 on a calculator?

You can find the GCD of 589, 424, 59, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.