GCD of 243, 321, 664, 199 Calculator

Given Input numbers are 243, 321, 664, 199

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 243, 321, 664, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 321, 664, 199 is 1.

Therefore, GCD of numbers 243, 321, 664, 199 is 1

Given Input Data is 243, 321, 664, 199

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 321 is 3 x 107

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(243, 321) = 26001

GCD(243, 321) = ( 243 x 321 ) / 26001

GCD(243, 321) = 78003 / 26001

GCD(243, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 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 243, 321, 664, 199 is 1

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1. What is the GCD of 243, 321, 664, 199?

GCD of 243, 321, 664, 199 is 1

2. Where do I get the detailed procedure to find GCD of 243, 321, 664, 199?

You can find a detailed procedure to find GCD of 243, 321, 664, 199 on our page.

3. How to find GCD of 243, 321, 664, 199 on a calculator?

You can find the GCD of 243, 321, 664, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.