GCD of 12, 637, 346, 317 Calculator

Given Input numbers are 12, 637, 346, 317

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 12, 637, 346, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 637, 346, 317 is 1.

Therefore, GCD of numbers 12, 637, 346, 317 is 1

Given Input Data is 12, 637, 346, 317

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 637 is 7 x 7 x 13

Prime Factorization of 346 is 2 x 173

Prime Factorization of 317 is 317

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(12, 637) = 7644

GCD(12, 637) = ( 12 x 637 ) / 7644

GCD(12, 637) = 7644 / 7644

GCD(12, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 12, 637, 346, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 129, 998, 713
• GCD of 37, 507, 744, 498
• GCD of 51, 138, 919, 605
• GCD of 95, 374, 926, 876
• GCD of 10, 258, 990, 995

1. What is the GCD of 12, 637, 346, 317?

GCD of 12, 637, 346, 317 is 1

2. Where do I get the detailed procedure to find GCD of 12, 637, 346, 317?

You can find a detailed procedure to find GCD of 12, 637, 346, 317 on our page.

3. How to find GCD of 12, 637, 346, 317 on a calculator?

You can find the GCD of 12, 637, 346, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.