GCD of 819, 516, 812, 797 Calculator

Given Input numbers are 819, 516, 812, 797

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 819, 516, 812, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 516, 812, 797 is 1.

Therefore, GCD of numbers 819, 516, 812, 797 is 1

Given Input Data is 819, 516, 812, 797

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Prime Factorization of 797 is 797

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(819, 516) = 140868

GCD(819, 516) = ( 819 x 516 ) / 140868

GCD(819, 516) = 422604 / 140868

GCD(819, 516) = 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 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 819, 516, 812, 797 is 1

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1. What is the GCD of 819, 516, 812, 797?

GCD of 819, 516, 812, 797 is 1

2. Where do I get the detailed procedure to find GCD of 819, 516, 812, 797?

You can find a detailed procedure to find GCD of 819, 516, 812, 797 on our page.

3. How to find GCD of 819, 516, 812, 797 on a calculator?

You can find the GCD of 819, 516, 812, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.