GCD of 231, 238, 13, 388 Calculator

Given Input numbers are 231, 238, 13, 388

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 13

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

1, 13

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 231, 238, 13, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 238, 13, 388 is 1.

Therefore, GCD of numbers 231, 238, 13, 388 is 1

Given Input Data is 231, 238, 13, 388

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 13 is 13

Prime Factorization of 388 is 2 x 2 x 97

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(231, 238) = 7854

GCD(231, 238) = ( 231 x 238 ) / 7854

GCD(231, 238) = 54978 / 7854

GCD(231, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 13

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

LCM(7, 13) = 91

GCD(7, 13) = ( 7 x 13 ) / 91

GCD(7, 13) = 91 / 91

GCD(7, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 231, 238, 13, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 846, 65, 291
• GCD of 379, 437, 38, 273
• GCD of 348, 865, 48, 235
• GCD of 659, 691, 41, 150
• GCD of 478, 910, 80, 877

1. What is the GCD of 231, 238, 13, 388?

GCD of 231, 238, 13, 388 is 1

2. Where do I get the detailed procedure to find GCD of 231, 238, 13, 388?

You can find a detailed procedure to find GCD of 231, 238, 13, 388 on our page.

3. How to find GCD of 231, 238, 13, 388 on a calculator?

You can find the GCD of 231, 238, 13, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.