GCD of 768, 390, 381, 923 Calculator

Given Input numbers are 768, 390, 381, 923

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 768, 390, 381, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 390, 381, 923 is 1.

Therefore, GCD of numbers 768, 390, 381, 923 is 1

Given Input Data is 768, 390, 381, 923

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 381 is 3 x 127

Prime Factorization of 923 is 13 x 71

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(768, 390) = 49920

GCD(768, 390) = ( 768 x 390 ) / 49920

GCD(768, 390) = 299520 / 49920

GCD(768, 390) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 381

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

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

GCD(6, 381) = 2286 / 762

GCD(6, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 923

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

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

GCD(3, 923) = 2769 / 2769

GCD(3, 923) = 1

GCD of 768, 390, 381, 923 is 1

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1. What is the GCD of 768, 390, 381, 923?

GCD of 768, 390, 381, 923 is 1

2. Where do I get the detailed procedure to find GCD of 768, 390, 381, 923?

You can find a detailed procedure to find GCD of 768, 390, 381, 923 on our page.

3. How to find GCD of 768, 390, 381, 923 on a calculator?

You can find the GCD of 768, 390, 381, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.