GCD of 794, 744, 12, 321 Calculator

Given Input numbers are 794, 744, 12, 321

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

Divisors of 794

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

1, 2, 397, 794

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 794, 744, 12, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 744, 12, 321 is 1.

Therefore, GCD of numbers 794, 744, 12, 321 is 1

Given Input Data is 794, 744, 12, 321

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 321 is 3 x 107

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(794, 744) = 295368

GCD(794, 744) = ( 794 x 744 ) / 295368

GCD(794, 744) = 590736 / 295368

GCD(794, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 794, 744, 12, 321 is 1

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• GCD of 599, 577, 24, 338
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• GCD of 729, 202, 29, 627

1. What is the GCD of 794, 744, 12, 321?

GCD of 794, 744, 12, 321 is 1

2. Where do I get the detailed procedure to find GCD of 794, 744, 12, 321?

You can find a detailed procedure to find GCD of 794, 744, 12, 321 on our page.

3. How to find GCD of 794, 744, 12, 321 on a calculator?

You can find the GCD of 794, 744, 12, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.