GCD of 382, 331, 312, 361 Calculator

Given Input numbers are 382, 331, 312, 361

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 382, 331, 312, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 331, 312, 361 is 1.

Therefore, GCD of numbers 382, 331, 312, 361 is 1

Given Input Data is 382, 331, 312, 361

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 331 is 331

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 361 is 19 x 19

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(382, 331) = 126442

GCD(382, 331) = ( 382 x 331 ) / 126442

GCD(382, 331) = 126442 / 126442

GCD(382, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 382, 331, 312, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 159, 668, 726
• GCD of 721, 897, 754, 996
• GCD of 390, 733, 600, 315
• GCD of 846, 755, 643, 865
• GCD of 195, 452, 907, 989

1. What is the GCD of 382, 331, 312, 361?

GCD of 382, 331, 312, 361 is 1

2. Where do I get the detailed procedure to find GCD of 382, 331, 312, 361?

You can find a detailed procedure to find GCD of 382, 331, 312, 361 on our page.

3. How to find GCD of 382, 331, 312, 361 on a calculator?

You can find the GCD of 382, 331, 312, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.