GCD of 923, 806, 844, 768 Calculator

Given Input numbers are 923, 806, 844, 768

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

Divisors of 923

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

1, 13, 71, 923

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

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

Greatest Common Divisior

We found the divisors of 923, 806, 844, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 806, 844, 768 is 1.

Therefore, GCD of numbers 923, 806, 844, 768 is 1

Given Input Data is 923, 806, 844, 768

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 844 is 2 x 2 x 211

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

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(923, 806) = 57226

GCD(923, 806) = ( 923 x 806 ) / 57226

GCD(923, 806) = 743938 / 57226

GCD(923, 806) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 844

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

LCM(13, 844) = 10972

GCD(13, 844) = ( 13 x 844 ) / 10972

GCD(13, 844) = 10972 / 10972

GCD(13, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 923, 806, 844, 768 is 1

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1. What is the GCD of 923, 806, 844, 768?

GCD of 923, 806, 844, 768 is 1

2. Where do I get the detailed procedure to find GCD of 923, 806, 844, 768?

You can find a detailed procedure to find GCD of 923, 806, 844, 768 on our page.

3. How to find GCD of 923, 806, 844, 768 on a calculator?

You can find the GCD of 923, 806, 844, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.