GCD of 16, 458, 331, 299 Calculator

Given Input numbers are 16, 458, 331, 299

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 16, 458, 331, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 458, 331, 299 is 1.

Therefore, GCD of numbers 16, 458, 331, 299 is 1

Given Input Data is 16, 458, 331, 299

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 458 is 2 x 229

Prime Factorization of 331 is 331

Prime Factorization of 299 is 13 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(16, 458) = 3664

GCD(16, 458) = ( 16 x 458 ) / 3664

GCD(16, 458) = 7328 / 3664

GCD(16, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 16, 458, 331, 299 is 1

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1. What is the GCD of 16, 458, 331, 299?

GCD of 16, 458, 331, 299 is 1

2. Where do I get the detailed procedure to find GCD of 16, 458, 331, 299?

You can find a detailed procedure to find GCD of 16, 458, 331, 299 on our page.

3. How to find GCD of 16, 458, 331, 299 on a calculator?

You can find the GCD of 16, 458, 331, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.