GCD of 38, 131, 249, 399 Calculator

Given Input numbers are 38, 131, 249, 399

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 38, 131, 249, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 131, 249, 399 is 1.

Therefore, GCD of numbers 38, 131, 249, 399 is 1

Given Input Data is 38, 131, 249, 399

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 131 is 131

Prime Factorization of 249 is 3 x 83

Prime Factorization of 399 is 3 x 7 x 19

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(38, 131) = 4978

GCD(38, 131) = ( 38 x 131 ) / 4978

GCD(38, 131) = 4978 / 4978

GCD(38, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 38, 131, 249, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 830, 536, 169
• GCD of 29, 372, 842, 244
• GCD of 30, 694, 121, 189
• GCD of 41, 817, 926, 109
• GCD of 67, 160, 533, 863

1. What is the GCD of 38, 131, 249, 399?

GCD of 38, 131, 249, 399 is 1

2. Where do I get the detailed procedure to find GCD of 38, 131, 249, 399?

You can find a detailed procedure to find GCD of 38, 131, 249, 399 on our page.

3. How to find GCD of 38, 131, 249, 399 on a calculator?

You can find the GCD of 38, 131, 249, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.