GCD of 384, 107, 320, 478 Calculator

Given Input numbers are 384, 107, 320, 478

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 384, 107, 320, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 107, 320, 478 is 1.

Therefore, GCD of numbers 384, 107, 320, 478 is 1

Given Input Data is 384, 107, 320, 478

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 107 is 107

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 478 is 2 x 239

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, 107) = 41088

GCD(384, 107) = ( 384 x 107 ) / 41088

GCD(384, 107) = 41088 / 41088

GCD(384, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 384, 107, 320, 478 is 1

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1. What is the GCD of 384, 107, 320, 478?

GCD of 384, 107, 320, 478 is 1

2. Where do I get the detailed procedure to find GCD of 384, 107, 320, 478?

You can find a detailed procedure to find GCD of 384, 107, 320, 478 on our page.

3. How to find GCD of 384, 107, 320, 478 on a calculator?

You can find the GCD of 384, 107, 320, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.