GCD of 198, 180, 13, 241 Calculator

Given Input numbers are 198, 180, 13, 241

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 13

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

1, 13

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 198, 180, 13, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 180, 13, 241 is 1.

Therefore, GCD of numbers 198, 180, 13, 241 is 1

Given Input Data is 198, 180, 13, 241

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 13 is 13

Prime Factorization of 241 is 241

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(198, 180) = 1980

GCD(198, 180) = ( 198 x 180 ) / 1980

GCD(198, 180) = 35640 / 1980

GCD(198, 180) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 13

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

LCM(18, 13) = 234

GCD(18, 13) = ( 18 x 13 ) / 234

GCD(18, 13) = 234 / 234

GCD(18, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 198, 180, 13, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 624, 57, 582
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• GCD of 907, 800, 40, 151

1. What is the GCD of 198, 180, 13, 241?

GCD of 198, 180, 13, 241 is 1

2. Where do I get the detailed procedure to find GCD of 198, 180, 13, 241?

You can find a detailed procedure to find GCD of 198, 180, 13, 241 on our page.

3. How to find GCD of 198, 180, 13, 241 on a calculator?

You can find the GCD of 198, 180, 13, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.