GCD of 884, 459, 99, 458 Calculator

Given Input numbers are 884, 459, 99, 458

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 884, 459, 99, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 459, 99, 458 is 1.

Therefore, GCD of numbers 884, 459, 99, 458 is 1

Given Input Data is 884, 459, 99, 458

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 458 is 2 x 229

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(884, 459) = 23868

GCD(884, 459) = ( 884 x 459 ) / 23868

GCD(884, 459) = 405756 / 23868

GCD(884, 459) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 99

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

LCM(17, 99) = 1683

GCD(17, 99) = ( 17 x 99 ) / 1683

GCD(17, 99) = 1683 / 1683

GCD(17, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 884, 459, 99, 458 is 1

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1. What is the GCD of 884, 459, 99, 458?

GCD of 884, 459, 99, 458 is 1

2. Where do I get the detailed procedure to find GCD of 884, 459, 99, 458?

You can find a detailed procedure to find GCD of 884, 459, 99, 458 on our page.

3. How to find GCD of 884, 459, 99, 458 on a calculator?

You can find the GCD of 884, 459, 99, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.