GCD of 203, 663, 729, 199 Calculator

Given Input numbers are 203, 663, 729, 199

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 663

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

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 203, 663, 729, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 663, 729, 199 is 1.

Therefore, GCD of numbers 203, 663, 729, 199 is 1

Given Input Data is 203, 663, 729, 199

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 199 is 199

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(203, 663) = 134589

GCD(203, 663) = ( 203 x 663 ) / 134589

GCD(203, 663) = 134589 / 134589

GCD(203, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 203, 663, 729, 199 is 1

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1. What is the GCD of 203, 663, 729, 199?

GCD of 203, 663, 729, 199 is 1

2. Where do I get the detailed procedure to find GCD of 203, 663, 729, 199?

You can find a detailed procedure to find GCD of 203, 663, 729, 199 on our page.

3. How to find GCD of 203, 663, 729, 199 on a calculator?

You can find the GCD of 203, 663, 729, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.