GCD of 259, 582, 594, 342 Calculator

Given Input numbers are 259, 582, 594, 342

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 259, 582, 594, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 582, 594, 342 is 1.

Therefore, GCD of numbers 259, 582, 594, 342 is 1

Given Input Data is 259, 582, 594, 342

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(259, 582) = 150738

GCD(259, 582) = ( 259 x 582 ) / 150738

GCD(259, 582) = 150738 / 150738

GCD(259, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 259, 582, 594, 342 is 1

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1. What is the GCD of 259, 582, 594, 342?

GCD of 259, 582, 594, 342 is 1

2. Where do I get the detailed procedure to find GCD of 259, 582, 594, 342?

You can find a detailed procedure to find GCD of 259, 582, 594, 342 on our page.

3. How to find GCD of 259, 582, 594, 342 on a calculator?

You can find the GCD of 259, 582, 594, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.