GCD of 819, 199, 12, 663 Calculator

Given Input numbers are 819, 199, 12, 663

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 819, 199, 12, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 199, 12, 663 is 1.

Therefore, GCD of numbers 819, 199, 12, 663 is 1

Given Input Data is 819, 199, 12, 663

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 199 is 199

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 663 is 3 x 13 x 17

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, 199) = 162981

GCD(819, 199) = ( 819 x 199 ) / 162981

GCD(819, 199) = 162981 / 162981

GCD(819, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 819, 199, 12, 663 is 1

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1. What is the GCD of 819, 199, 12, 663?

GCD of 819, 199, 12, 663 is 1

2. Where do I get the detailed procedure to find GCD of 819, 199, 12, 663?

You can find a detailed procedure to find GCD of 819, 199, 12, 663 on our page.

3. How to find GCD of 819, 199, 12, 663 on a calculator?

You can find the GCD of 819, 199, 12, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.