GCD of 199, 459, 256, 316 Calculator

Given Input numbers are 199, 459, 256, 316

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

Divisors of 199

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

1, 199

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 199, 459, 256, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 459, 256, 316 is 1.

Therefore, GCD of numbers 199, 459, 256, 316 is 1

Given Input Data is 199, 459, 256, 316

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

Prime Factorization of 199 is 199

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 316 is 2 x 2 x 79

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(199, 459) = 91341

GCD(199, 459) = ( 199 x 459 ) / 91341

GCD(199, 459) = 91341 / 91341

GCD(199, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 199, 459, 256, 316 is 1

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1. What is the GCD of 199, 459, 256, 316?

GCD of 199, 459, 256, 316 is 1

2. Where do I get the detailed procedure to find GCD of 199, 459, 256, 316?

You can find a detailed procedure to find GCD of 199, 459, 256, 316 on our page.

3. How to find GCD of 199, 459, 256, 316 on a calculator?

You can find the GCD of 199, 459, 256, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.