GCD of 384, 347, 14, 389 Calculator

Given Input numbers are 384, 347, 14, 389

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

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 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 14

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

1, 2, 7, 14

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 384, 347, 14, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 347, 14, 389 is 1.

Therefore, GCD of numbers 384, 347, 14, 389 is 1

Given Input Data is 384, 347, 14, 389

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

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

Prime Factorization of 347 is 347

Prime Factorization of 14 is 2 x 7

Prime Factorization of 389 is 389

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(384, 347) = 133248

GCD(384, 347) = ( 384 x 347 ) / 133248

GCD(384, 347) = 133248 / 133248

GCD(384, 347) = 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 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 384, 347, 14, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 703, 49, 275
• GCD of 465, 105, 64, 215
• GCD of 447, 617, 39, 882
• GCD of 376, 901, 93, 563
• GCD of 605, 380, 39, 720

1. What is the GCD of 384, 347, 14, 389?

GCD of 384, 347, 14, 389 is 1

2. Where do I get the detailed procedure to find GCD of 384, 347, 14, 389?

You can find a detailed procedure to find GCD of 384, 347, 14, 389 on our page.

3. How to find GCD of 384, 347, 14, 389 on a calculator?

You can find the GCD of 384, 347, 14, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.