GCD of 582, 864, 34, 594 Calculator

Given Input numbers are 582, 864, 34, 594

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

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 582, 864, 34, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 864, 34, 594 is 2.

Therefore, GCD of numbers 582, 864, 34, 594 is 2

Given Input Data is 582, 864, 34, 594

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 34 is 2 x 17

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(582, 864) = 83808

GCD(582, 864) = ( 582 x 864 ) / 83808

GCD(582, 864) = 502848 / 83808

GCD(582, 864) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 582, 864, 34, 594 is 2

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1. What is the GCD of 582, 864, 34, 594?

GCD of 582, 864, 34, 594 is 2

2. Where do I get the detailed procedure to find GCD of 582, 864, 34, 594?

You can find a detailed procedure to find GCD of 582, 864, 34, 594 on our page.

3. How to find GCD of 582, 864, 34, 594 on a calculator?

You can find the GCD of 582, 864, 34, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.