GCD of 345, 589, 424 Calculator

Given Input numbers are 345, 589, 424

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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

Greatest Common Divisior

We found the divisors of 345, 589, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 589, 424 is 1.

Therefore, GCD of numbers 345, 589, 424 is 1

Given Input Data is 345, 589, 424

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 589 is 19 x 31

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

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(345, 589) = 203205

GCD(345, 589) = ( 345 x 589 ) / 203205

GCD(345, 589) = 203205 / 203205

GCD(345, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 345, 589, 424 is 1

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1. What is the GCD of 345, 589, 424?

GCD of 345, 589, 424 is 1

2. Where do I get the detailed procedure to find GCD of 345, 589, 424?

You can find a detailed procedure to find GCD of 345, 589, 424 on our page.

3. How to find GCD of 345, 589, 424 on a calculator?

You can find the GCD of 345, 589, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.