GCD of 489, 361, 432, 239 Calculator

Given Input numbers are 489, 361, 432, 239

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 489, 361, 432, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 361, 432, 239 is 1.

Therefore, GCD of numbers 489, 361, 432, 239 is 1

Given Input Data is 489, 361, 432, 239

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 361 is 19 x 19

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 239 is 239

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(489, 361) = 176529

GCD(489, 361) = ( 489 x 361 ) / 176529

GCD(489, 361) = 176529 / 176529

GCD(489, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 489, 361, 432, 239 is 1

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1. What is the GCD of 489, 361, 432, 239?

GCD of 489, 361, 432, 239 is 1

2. Where do I get the detailed procedure to find GCD of 489, 361, 432, 239?

You can find a detailed procedure to find GCD of 489, 361, 432, 239 on our page.

3. How to find GCD of 489, 361, 432, 239 on a calculator?

You can find the GCD of 489, 361, 432, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.