GCD of 594, 460, 872, 259 Calculator

Given Input numbers are 594, 460, 872, 259

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

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 259

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

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 594, 460, 872, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 460, 872, 259 is 1.

Therefore, GCD of numbers 594, 460, 872, 259 is 1

Given Input Data is 594, 460, 872, 259

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

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 259 is 7 x 37

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(594, 460) = 136620

GCD(594, 460) = ( 594 x 460 ) / 136620

GCD(594, 460) = 273240 / 136620

GCD(594, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 594, 460, 872, 259 is 1

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1. What is the GCD of 594, 460, 872, 259?

GCD of 594, 460, 872, 259 is 1

2. Where do I get the detailed procedure to find GCD of 594, 460, 872, 259?

You can find a detailed procedure to find GCD of 594, 460, 872, 259 on our page.

3. How to find GCD of 594, 460, 872, 259 on a calculator?

You can find the GCD of 594, 460, 872, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.