GCD of 191, 728, 249, 413 Calculator

Given Input numbers are 191, 728, 249, 413

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 249

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

1, 3, 83, 249

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 191, 728, 249, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 728, 249, 413 is 1.

Therefore, GCD of numbers 191, 728, 249, 413 is 1

Given Input Data is 191, 728, 249, 413

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

Prime Factorization of 191 is 191

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 413 is 7 x 59

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(191, 728) = 139048

GCD(191, 728) = ( 191 x 728 ) / 139048

GCD(191, 728) = 139048 / 139048

GCD(191, 728) = 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 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 191, 728, 249, 413 is 1

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1. What is the GCD of 191, 728, 249, 413?

GCD of 191, 728, 249, 413 is 1

2. Where do I get the detailed procedure to find GCD of 191, 728, 249, 413?

You can find a detailed procedure to find GCD of 191, 728, 249, 413 on our page.

3. How to find GCD of 191, 728, 249, 413 on a calculator?

You can find the GCD of 191, 728, 249, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.