GCD of 384, 195, 16, 792 Calculator

Given Input numbers are 384, 195, 16, 792

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 384, 195, 16, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 195, 16, 792 is 1.

Therefore, GCD of numbers 384, 195, 16, 792 is 1

Given Input Data is 384, 195, 16, 792

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 195 is 3 x 5 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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, 195) = 24960

GCD(384, 195) = ( 384 x 195 ) / 24960

GCD(384, 195) = 74880 / 24960

GCD(384, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 384, 195, 16, 792 is 1

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1. What is the GCD of 384, 195, 16, 792?

GCD of 384, 195, 16, 792 is 1

2. Where do I get the detailed procedure to find GCD of 384, 195, 16, 792?

You can find a detailed procedure to find GCD of 384, 195, 16, 792 on our page.

3. How to find GCD of 384, 195, 16, 792 on a calculator?

You can find the GCD of 384, 195, 16, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.