GCD of 489, 892, 204 Calculator

Given Input numbers are 489, 892, 204

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 489, 892, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 892, 204 is 1.

Therefore, GCD of numbers 489, 892, 204 is 1

Given Input Data is 489, 892, 204

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 204 is 2 x 2 x 3 x 17

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, 892) = 436188

GCD(489, 892) = ( 489 x 892 ) / 436188

GCD(489, 892) = 436188 / 436188

GCD(489, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 489, 892, 204 is 1

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1. What is the GCD of 489, 892, 204?

GCD of 489, 892, 204 is 1

2. Where do I get the detailed procedure to find GCD of 489, 892, 204?

You can find a detailed procedure to find GCD of 489, 892, 204 on our page.

3. How to find GCD of 489, 892, 204 on a calculator?

You can find the GCD of 489, 892, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.