GCD of 589, 341, 439, 470 Calculator

Given Input numbers are 589, 341, 439, 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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

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, 341, 439, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 341, 439, 470 is 1.

Therefore, GCD of numbers 589, 341, 439, 470 is 1

Given Input Data is 589, 341, 439, 470

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 341 is 11 x 31

Prime Factorization of 439 is 439

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, 341) = 6479

GCD(589, 341) = ( 589 x 341 ) / 6479

GCD(589, 341) = 200849 / 6479

GCD(589, 341) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 439

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

LCM(31, 439) = 13609

GCD(31, 439) = ( 31 x 439 ) / 13609

GCD(31, 439) = 13609 / 13609

GCD(31, 439) = 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, 341, 439, 470 is 1

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1. What is the GCD of 589, 341, 439, 470?

GCD of 589, 341, 439, 470 is 1

2. Where do I get the detailed procedure to find GCD of 589, 341, 439, 470?

You can find a detailed procedure to find GCD of 589, 341, 439, 470 on our page.

3. How to find GCD of 589, 341, 439, 470 on a calculator?

You can find the GCD of 589, 341, 439, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.