GCD of 768, 418, 794 Calculator

Given Input numbers are 768, 418, 794

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 768, 418, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 418, 794 is 2.

Therefore, GCD of numbers 768, 418, 794 is 2

Given Input Data is 768, 418, 794

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 418 is 2 x 11 x 19

Prime Factorization of 794 is 2 x 397

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 418) = 160512

GCD(768, 418) = ( 768 x 418 ) / 160512

GCD(768, 418) = 321024 / 160512

GCD(768, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 768, 418, 794 is 2

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1. What is the GCD of 768, 418, 794?

GCD of 768, 418, 794 is 2

2. Where do I get the detailed procedure to find GCD of 768, 418, 794?

You can find a detailed procedure to find GCD of 768, 418, 794 on our page.

3. How to find GCD of 768, 418, 794 on a calculator?

You can find the GCD of 768, 418, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.