GCD of 243, 189, 13, 193 Calculator

Given Input numbers are 243, 189, 13, 193

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 243, 189, 13, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 189, 13, 193 is 1.

Therefore, GCD of numbers 243, 189, 13, 193 is 1

Given Input Data is 243, 189, 13, 193

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 13 is 13

Prime Factorization of 193 is 193

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, 189) = 1701

GCD(243, 189) = ( 243 x 189 ) / 1701

GCD(243, 189) = 45927 / 1701

GCD(243, 189) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 13

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

LCM(27, 13) = 351

GCD(27, 13) = ( 27 x 13 ) / 351

GCD(27, 13) = 351 / 351

GCD(27, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 243, 189, 13, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 850, 88, 675
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• GCD of 592, 191, 27, 814

1. What is the GCD of 243, 189, 13, 193?

GCD of 243, 189, 13, 193 is 1

2. Where do I get the detailed procedure to find GCD of 243, 189, 13, 193?

You can find a detailed procedure to find GCD of 243, 189, 13, 193 on our page.

3. How to find GCD of 243, 189, 13, 193 on a calculator?

You can find the GCD of 243, 189, 13, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.