GCD of 768, 299, 109 Calculator

Given Input numbers are 768, 299, 109

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 768, 299, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 299, 109 is 1.

Therefore, GCD of numbers 768, 299, 109 is 1

Given Input Data is 768, 299, 109

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 299 is 13 x 23

Prime Factorization of 109 is 109

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, 299) = 229632

GCD(768, 299) = ( 768 x 299 ) / 229632

GCD(768, 299) = 229632 / 229632

GCD(768, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 768, 299, 109 is 1

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1. What is the GCD of 768, 299, 109?

GCD of 768, 299, 109 is 1

2. Where do I get the detailed procedure to find GCD of 768, 299, 109?

You can find a detailed procedure to find GCD of 768, 299, 109 on our page.

3. How to find GCD of 768, 299, 109 on a calculator?

You can find the GCD of 768, 299, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.