GCD of 229, 460, 489, 396 Calculator

Given Input numbers are 229, 460, 489, 396

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 489

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

1, 3, 163, 489

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 229, 460, 489, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 460, 489, 396 is 1.

Therefore, GCD of numbers 229, 460, 489, 396 is 1

Given Input Data is 229, 460, 489, 396

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

Prime Factorization of 229 is 229

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 489 is 3 x 163

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(229, 460) = 105340

GCD(229, 460) = ( 229 x 460 ) / 105340

GCD(229, 460) = 105340 / 105340

GCD(229, 460) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 229, 460, 489, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 905, 359, 133
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• GCD of 851, 816, 399, 817

1. What is the GCD of 229, 460, 489, 396?

GCD of 229, 460, 489, 396 is 1

2. Where do I get the detailed procedure to find GCD of 229, 460, 489, 396?

You can find a detailed procedure to find GCD of 229, 460, 489, 396 on our page.

3. How to find GCD of 229, 460, 489, 396 on a calculator?

You can find the GCD of 229, 460, 489, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.