GCD of 228, 674, 489 Calculator

Given Input numbers are 228, 674, 489

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 228, 674, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 674, 489 is 1.

Therefore, GCD of numbers 228, 674, 489 is 1

Given Input Data is 228, 674, 489

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 674 is 2 x 337

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(228, 674) = 76836

GCD(228, 674) = ( 228 x 674 ) / 76836

GCD(228, 674) = 153672 / 76836

GCD(228, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 489

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

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

GCD(2, 489) = 978 / 978

GCD(2, 489) = 1

GCD of 228, 674, 489 is 1

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1. What is the GCD of 228, 674, 489?

GCD of 228, 674, 489 is 1

2. Where do I get the detailed procedure to find GCD of 228, 674, 489?

You can find a detailed procedure to find GCD of 228, 674, 489 on our page.

3. How to find GCD of 228, 674, 489 on a calculator?

You can find the GCD of 228, 674, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.