GCD of 11, 239, 199, 414 Calculator

Given Input numbers are 11, 239, 199, 414

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 11, 239, 199, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 239, 199, 414 is 1.

Therefore, GCD of numbers 11, 239, 199, 414 is 1

Given Input Data is 11, 239, 199, 414

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

Prime Factorization of 11 is 11

Prime Factorization of 239 is 239

Prime Factorization of 199 is 199

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(11, 239) = 2629

GCD(11, 239) = ( 11 x 239 ) / 2629

GCD(11, 239) = 2629 / 2629

GCD(11, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 11, 239, 199, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 784, 635, 182
• GCD of 99, 199, 252, 488
• GCD of 22, 965, 729, 955
• GCD of 72, 539, 937, 195
• GCD of 33, 271, 332, 388

1. What is the GCD of 11, 239, 199, 414?

GCD of 11, 239, 199, 414 is 1

2. Where do I get the detailed procedure to find GCD of 11, 239, 199, 414?

You can find a detailed procedure to find GCD of 11, 239, 199, 414 on our page.

3. How to find GCD of 11, 239, 199, 414 on a calculator?

You can find the GCD of 11, 239, 199, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.