GCD of 594, 888, 470, 422 Calculator

Given Input numbers are 594, 888, 470, 422

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 594, 888, 470, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 888, 470, 422 is 2.

Therefore, GCD of numbers 594, 888, 470, 422 is 2

Given Input Data is 594, 888, 470, 422

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 422 is 2 x 211

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(594, 888) = 87912

GCD(594, 888) = ( 594 x 888 ) / 87912

GCD(594, 888) = 527472 / 87912

GCD(594, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 470

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

LCM(6, 470) = 1410

GCD(6, 470) = ( 6 x 470 ) / 1410

GCD(6, 470) = 2820 / 1410

GCD(6, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 594, 888, 470, 422 is 2

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1. What is the GCD of 594, 888, 470, 422?

GCD of 594, 888, 470, 422 is 2

2. Where do I get the detailed procedure to find GCD of 594, 888, 470, 422?

You can find a detailed procedure to find GCD of 594, 888, 470, 422 on our page.

3. How to find GCD of 594, 888, 470, 422 on a calculator?

You can find the GCD of 594, 888, 470, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.