GCD of 12, 307, 364, 381 Calculator

Given Input numbers are 12, 307, 364, 381

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 12, 307, 364, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 307, 364, 381 is 1.

Therefore, GCD of numbers 12, 307, 364, 381 is 1

Given Input Data is 12, 307, 364, 381

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 307 is 307

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 381 is 3 x 127

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, 307) = 3684

GCD(12, 307) = ( 12 x 307 ) / 3684

GCD(12, 307) = 3684 / 3684

GCD(12, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 12, 307, 364, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 378, 802, 294
• GCD of 42, 359, 117, 349
• GCD of 39, 196, 738, 705
• GCD of 17, 930, 715, 924
• GCD of 27, 911, 668, 405

1. What is the GCD of 12, 307, 364, 381?

GCD of 12, 307, 364, 381 is 1

2. Where do I get the detailed procedure to find GCD of 12, 307, 364, 381?

You can find a detailed procedure to find GCD of 12, 307, 364, 381 on our page.

3. How to find GCD of 12, 307, 364, 381 on a calculator?

You can find the GCD of 12, 307, 364, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.