GCD of 164, 586, 12 Calculator

Given Input numbers are 164, 586, 12

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 586

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

1, 2, 293, 586

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 164, 586, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 586, 12 is 2.

Therefore, GCD of numbers 164, 586, 12 is 2

Given Input Data is 164, 586, 12

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 586 is 2 x 293

Prime Factorization of 12 is 2 x 2 x 3

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(164, 586) = 48052

GCD(164, 586) = ( 164 x 586 ) / 48052

GCD(164, 586) = 96104 / 48052

GCD(164, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

GCD of 164, 586, 12 is 2

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1. What is the GCD of 164, 586, 12?

GCD of 164, 586, 12 is 2

2. Where do I get the detailed procedure to find GCD of 164, 586, 12?

You can find a detailed procedure to find GCD of 164, 586, 12 on our page.

3. How to find GCD of 164, 586, 12 on a calculator?

You can find the GCD of 164, 586, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.