GCD of 759, 519, 812, 394 Calculator

Given Input numbers are 759, 519, 812, 394

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 759, 519, 812, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 519, 812, 394 is 1.

Therefore, GCD of numbers 759, 519, 812, 394 is 1

Given Input Data is 759, 519, 812, 394

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 519 is 3 x 173

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 394 is 2 x 197

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(759, 519) = 131307

GCD(759, 519) = ( 759 x 519 ) / 131307

GCD(759, 519) = 393921 / 131307

GCD(759, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 812

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

LCM(3, 812) = 2436

GCD(3, 812) = ( 3 x 812 ) / 2436

GCD(3, 812) = 2436 / 2436

GCD(3, 812) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 759, 519, 812, 394 is 1

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1. What is the GCD of 759, 519, 812, 394?

GCD of 759, 519, 812, 394 is 1

2. Where do I get the detailed procedure to find GCD of 759, 519, 812, 394?

You can find a detailed procedure to find GCD of 759, 519, 812, 394 on our page.

3. How to find GCD of 759, 519, 812, 394 on a calculator?

You can find the GCD of 759, 519, 812, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.