GCD of 349, 384, 14, 366 Calculator

Given Input numbers are 349, 384, 14, 366

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 14

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

1, 2, 7, 14

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 349, 384, 14, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 384, 14, 366 is 1.

Therefore, GCD of numbers 349, 384, 14, 366 is 1

Given Input Data is 349, 384, 14, 366

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

Prime Factorization of 349 is 349

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 366 is 2 x 3 x 61

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(349, 384) = 134016

GCD(349, 384) = ( 349 x 384 ) / 134016

GCD(349, 384) = 134016 / 134016

GCD(349, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 349, 384, 14, 366 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 540, 13, 510
• GCD of 927, 998, 10, 415
• GCD of 141, 160, 26, 216
• GCD of 765, 312, 11, 866
• GCD of 365, 301, 37, 425

1. What is the GCD of 349, 384, 14, 366?

GCD of 349, 384, 14, 366 is 1

2. Where do I get the detailed procedure to find GCD of 349, 384, 14, 366?

You can find a detailed procedure to find GCD of 349, 384, 14, 366 on our page.

3. How to find GCD of 349, 384, 14, 366 on a calculator?

You can find the GCD of 349, 384, 14, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.