GCD of 327, 570, 814 Calculator

Given Input numbers are 327, 570, 814

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 327, 570, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 570, 814 is 1.

Therefore, GCD of numbers 327, 570, 814 is 1

Given Input Data is 327, 570, 814

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 814 is 2 x 11 x 37

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(327, 570) = 62130

GCD(327, 570) = ( 327 x 570 ) / 62130

GCD(327, 570) = 186390 / 62130

GCD(327, 570) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 814

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

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

GCD(3, 814) = 2442 / 2442

GCD(3, 814) = 1

GCD of 327, 570, 814 is 1

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1. What is the GCD of 327, 570, 814?

GCD of 327, 570, 814 is 1

2. Where do I get the detailed procedure to find GCD of 327, 570, 814?

You can find a detailed procedure to find GCD of 327, 570, 814 on our page.

3. How to find GCD of 327, 570, 814 on a calculator?

You can find the GCD of 327, 570, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.