GCD of 320, 560, 489 Calculator

Given Input numbers are 320, 560, 489

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 320, 560, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 560, 489 is 1.

Therefore, GCD of numbers 320, 560, 489 is 1

Given Input Data is 320, 560, 489

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(320, 560) = 2240

GCD(320, 560) = ( 320 x 560 ) / 2240

GCD(320, 560) = 179200 / 2240

GCD(320, 560) = 80

Step2:

Here we consider the GCD from the above i.e. 80 as first number and the next as 489

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

LCM(80, 489) = 39120

GCD(80, 489) = ( 80 x 489 ) / 39120

GCD(80, 489) = 39120 / 39120

GCD(80, 489) = 1

GCD of 320, 560, 489 is 1

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1. What is the GCD of 320, 560, 489?

GCD of 320, 560, 489 is 1

2. Where do I get the detailed procedure to find GCD of 320, 560, 489?

You can find a detailed procedure to find GCD of 320, 560, 489 on our page.

3. How to find GCD of 320, 560, 489 on a calculator?

You can find the GCD of 320, 560, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.