GCD of 422, 558, 608, 586 Calculator

Given Input numbers are 422, 558, 608, 586

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

Divisors of 422

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

1, 2, 211, 422

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 422, 558, 608, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 558, 608, 586 is 2.

Therefore, GCD of numbers 422, 558, 608, 586 is 2

Given Input Data is 422, 558, 608, 586

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 586 is 2 x 293

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(422, 558) = 117738

GCD(422, 558) = ( 422 x 558 ) / 117738

GCD(422, 558) = 235476 / 117738

GCD(422, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 586

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

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

GCD(2, 586) = 1172 / 586

GCD(2, 586) = 2

GCD of 422, 558, 608, 586 is 2

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1. What is the GCD of 422, 558, 608, 586?

GCD of 422, 558, 608, 586 is 2

2. Where do I get the detailed procedure to find GCD of 422, 558, 608, 586?

You can find a detailed procedure to find GCD of 422, 558, 608, 586 on our page.

3. How to find GCD of 422, 558, 608, 586 on a calculator?

You can find the GCD of 422, 558, 608, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.