GCD of 590, 838, 12 Calculator

Given Input numbers are 590, 838, 12

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

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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 590, 838, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 838, 12 is 2.

Therefore, GCD of numbers 590, 838, 12 is 2

Given Input Data is 590, 838, 12

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 838 is 2 x 419

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(590, 838) = 247210

GCD(590, 838) = ( 590 x 838 ) / 247210

GCD(590, 838) = 494420 / 247210

GCD(590, 838) = 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 590, 838, 12 is 2

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1. What is the GCD of 590, 838, 12?

GCD of 590, 838, 12 is 2

2. Where do I get the detailed procedure to find GCD of 590, 838, 12?

You can find a detailed procedure to find GCD of 590, 838, 12 on our page.

3. How to find GCD of 590, 838, 12 on a calculator?

You can find the GCD of 590, 838, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.