GCD of 446, 330, 189, 489 Calculator

Given Input numbers are 446, 330, 189, 489

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 446, 330, 189, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 330, 189, 489 is 1.

Therefore, GCD of numbers 446, 330, 189, 489 is 1

Given Input Data is 446, 330, 189, 489

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

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 489 is 3 x 163

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(446, 330) = 73590

GCD(446, 330) = ( 446 x 330 ) / 73590

GCD(446, 330) = 147180 / 73590

GCD(446, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 446, 330, 189, 489 is 1

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1. What is the GCD of 446, 330, 189, 489?

GCD of 446, 330, 189, 489 is 1

2. Where do I get the detailed procedure to find GCD of 446, 330, 189, 489?

You can find a detailed procedure to find GCD of 446, 330, 189, 489 on our page.

3. How to find GCD of 446, 330, 189, 489 on a calculator?

You can find the GCD of 446, 330, 189, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.