GCD of 589, 602, 809, 470 Calculator

Given Input numbers are 589, 602, 809, 470

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 589, 602, 809, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 602, 809, 470 is 1.

Therefore, GCD of numbers 589, 602, 809, 470 is 1

Given Input Data is 589, 602, 809, 470

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 809 is 809

Prime Factorization of 470 is 2 x 5 x 47

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, 602) = 354578

GCD(589, 602) = ( 589 x 602 ) / 354578

GCD(589, 602) = 354578 / 354578

GCD(589, 602) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 589, 602, 809, 470 is 1

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1. What is the GCD of 589, 602, 809, 470?

GCD of 589, 602, 809, 470 is 1

2. Where do I get the detailed procedure to find GCD of 589, 602, 809, 470?

You can find a detailed procedure to find GCD of 589, 602, 809, 470 on our page.

3. How to find GCD of 589, 602, 809, 470 on a calculator?

You can find the GCD of 589, 602, 809, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.