GCD of 422, 589, 173 Calculator

Given Input numbers are 422, 589, 173

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 589

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

1, 19, 31, 589

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 422, 589, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 589, 173 is 1.

Therefore, GCD of numbers 422, 589, 173 is 1

Given Input Data is 422, 589, 173

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 589 is 19 x 31

Prime Factorization of 173 is 173

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(422, 589) = 248558

GCD(422, 589) = ( 422 x 589 ) / 248558

GCD(422, 589) = 248558 / 248558

GCD(422, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 422, 589, 173 is 1

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1. What is the GCD of 422, 589, 173?

GCD of 422, 589, 173 is 1

2. Where do I get the detailed procedure to find GCD of 422, 589, 173?

You can find a detailed procedure to find GCD of 422, 589, 173 on our page.

3. How to find GCD of 422, 589, 173 on a calculator?

You can find the GCD of 422, 589, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.