GCD of 768, 979, 23 Calculator

Given Input numbers are 768, 979, 23

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 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Greatest Common Divisior

We found the divisors of 768, 979, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 979, 23 is 1.

Therefore, GCD of numbers 768, 979, 23 is 1

Given Input Data is 768, 979, 23

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 979 is 11 x 89

Prime Factorization of 23 is 23

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, 979) = 751872

GCD(768, 979) = ( 768 x 979 ) / 751872

GCD(768, 979) = 751872 / 751872

GCD(768, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

GCD of 768, 979, 23 is 1

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1. What is the GCD of 768, 979, 23?

GCD of 768, 979, 23 is 1

2. Where do I get the detailed procedure to find GCD of 768, 979, 23?

You can find a detailed procedure to find GCD of 768, 979, 23 on our page.

3. How to find GCD of 768, 979, 23 on a calculator?

You can find the GCD of 768, 979, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.