GCD of 498, 447, 330, 327 Calculator

Given Input numbers are 498, 447, 330, 327

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 498, 447, 330, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 447, 330, 327 is 3.

Therefore, GCD of numbers 498, 447, 330, 327 is 3

Given Input Data is 498, 447, 330, 327

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 447 is 3 x 149

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 327 is 3 x 109

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(498, 447) = 74202

GCD(498, 447) = ( 498 x 447 ) / 74202

GCD(498, 447) = 222606 / 74202

GCD(498, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 330

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

LCM(3, 330) = 330

GCD(3, 330) = ( 3 x 330 ) / 330

GCD(3, 330) = 990 / 330

GCD(3, 330) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 327

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

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

GCD(3, 327) = 981 / 327

GCD(3, 327) = 3

GCD of 498, 447, 330, 327 is 3

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1. What is the GCD of 498, 447, 330, 327?

GCD of 498, 447, 330, 327 is 3

2. Where do I get the detailed procedure to find GCD of 498, 447, 330, 327?

You can find a detailed procedure to find GCD of 498, 447, 330, 327 on our page.

3. How to find GCD of 498, 447, 330, 327 on a calculator?

You can find the GCD of 498, 447, 330, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.