GCD of 644, 642, 12, 309 Calculator

Given Input numbers are 644, 642, 12, 309

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 644, 642, 12, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 642, 12, 309 is 1.

Therefore, GCD of numbers 644, 642, 12, 309 is 1

Given Input Data is 644, 642, 12, 309

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 309 is 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

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(644, 642) = 206724

GCD(644, 642) = ( 644 x 642 ) / 206724

GCD(644, 642) = 413448 / 206724

GCD(644, 642) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 644, 642, 12, 309 is 1

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• GCD of 802, 210, 54, 538
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1. What is the GCD of 644, 642, 12, 309?

GCD of 644, 642, 12, 309 is 1

2. Where do I get the detailed procedure to find GCD of 644, 642, 12, 309?

You can find a detailed procedure to find GCD of 644, 642, 12, 309 on our page.

3. How to find GCD of 644, 642, 12, 309 on a calculator?

You can find the GCD of 644, 642, 12, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.