GCD of 12, 172, 590, 404 Calculator

Given Input numbers are 12, 172, 590, 404

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 12, 172, 590, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 172, 590, 404 is 2.

Therefore, GCD of numbers 12, 172, 590, 404 is 2

Given Input Data is 12, 172, 590, 404

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 404 is 2 x 2 x 101

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(12, 172) = 516

GCD(12, 172) = ( 12 x 172 ) / 516

GCD(12, 172) = 2064 / 516

GCD(12, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 590

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

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

GCD(4, 590) = 2360 / 1180

GCD(4, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 12, 172, 590, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 114, 629, 294
• GCD of 41, 850, 751, 937
• GCD of 52, 564, 588, 259
• GCD of 86, 352, 817, 369
• GCD of 24, 805, 277, 507

1. What is the GCD of 12, 172, 590, 404?

GCD of 12, 172, 590, 404 is 2

2. Where do I get the detailed procedure to find GCD of 12, 172, 590, 404?

You can find a detailed procedure to find GCD of 12, 172, 590, 404 on our page.

3. How to find GCD of 12, 172, 590, 404 on a calculator?

You can find the GCD of 12, 172, 590, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.