GCD of 14, 646, 393, 367 Calculator

Given Input numbers are 14, 646, 393, 367

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 14, 646, 393, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 646, 393, 367 is 1.

Therefore, GCD of numbers 14, 646, 393, 367 is 1

Given Input Data is 14, 646, 393, 367

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 393 is 3 x 131

Prime Factorization of 367 is 367

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(14, 646) = 4522

GCD(14, 646) = ( 14 x 646 ) / 4522

GCD(14, 646) = 9044 / 4522

GCD(14, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 14, 646, 393, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 716, 270, 686
• GCD of 45, 264, 345, 177
• GCD of 87, 664, 464, 502
• GCD of 94, 766, 918, 690
• GCD of 87, 325, 512, 822

1. What is the GCD of 14, 646, 393, 367?

GCD of 14, 646, 393, 367 is 1

2. Where do I get the detailed procedure to find GCD of 14, 646, 393, 367?

You can find a detailed procedure to find GCD of 14, 646, 393, 367 on our page.

3. How to find GCD of 14, 646, 393, 367 on a calculator?

You can find the GCD of 14, 646, 393, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.