GCD of 31, 123, 241, 388 Calculator

Given Input numbers are 31, 123, 241, 388

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 241

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

1, 241

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 31, 123, 241, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 123, 241, 388 is 1.

Therefore, GCD of numbers 31, 123, 241, 388 is 1

Given Input Data is 31, 123, 241, 388

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

Prime Factorization of 31 is 31

Prime Factorization of 123 is 3 x 41

Prime Factorization of 241 is 241

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(31, 123) = 3813

GCD(31, 123) = ( 31 x 123 ) / 3813

GCD(31, 123) = 3813 / 3813

GCD(31, 123) = 1

Step2:

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

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 31, 123, 241, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 660, 970, 201
• GCD of 71, 405, 106, 242
• GCD of 15, 192, 620, 393
• GCD of 15, 132, 939, 467
• GCD of 68, 243, 899, 783

1. What is the GCD of 31, 123, 241, 388?

GCD of 31, 123, 241, 388 is 1

2. Where do I get the detailed procedure to find GCD of 31, 123, 241, 388?

You can find a detailed procedure to find GCD of 31, 123, 241, 388 on our page.

3. How to find GCD of 31, 123, 241, 388 on a calculator?

You can find the GCD of 31, 123, 241, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.