GCD of 489, 434, 288, 306 Calculator

Given Input numbers are 489, 434, 288, 306

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 489, 434, 288, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 434, 288, 306 is 1.

Therefore, GCD of numbers 489, 434, 288, 306 is 1

Given Input Data is 489, 434, 288, 306

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 306 is 2 x 3 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, 434) = 212226

GCD(489, 434) = ( 489 x 434 ) / 212226

GCD(489, 434) = 212226 / 212226

GCD(489, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 489, 434, 288, 306 is 1

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1. What is the GCD of 489, 434, 288, 306?

GCD of 489, 434, 288, 306 is 1

2. Where do I get the detailed procedure to find GCD of 489, 434, 288, 306?

You can find a detailed procedure to find GCD of 489, 434, 288, 306 on our page.

3. How to find GCD of 489, 434, 288, 306 on a calculator?

You can find the GCD of 489, 434, 288, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.