GCD of 814, 999, 866 Calculator

Given Input numbers are 814, 999, 866

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

Divisors of 814

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

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 814, 999, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 999, 866 is 1.

Therefore, GCD of numbers 814, 999, 866 is 1

Given Input Data is 814, 999, 866

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 866 is 2 x 433

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(814, 999) = 21978

GCD(814, 999) = ( 814 x 999 ) / 21978

GCD(814, 999) = 813186 / 21978

GCD(814, 999) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 866

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

LCM(37, 866) = 32042

GCD(37, 866) = ( 37 x 866 ) / 32042

GCD(37, 866) = 32042 / 32042

GCD(37, 866) = 1

GCD of 814, 999, 866 is 1

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1. What is the GCD of 814, 999, 866?

GCD of 814, 999, 866 is 1

2. Where do I get the detailed procedure to find GCD of 814, 999, 866?

You can find a detailed procedure to find GCD of 814, 999, 866 on our page.

3. How to find GCD of 814, 999, 866 on a calculator?

You can find the GCD of 814, 999, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.