GCD of 489, 256, 895 Calculator

Given Input numbers are 489, 256, 895

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 489, 256, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 256, 895 is 1.

Therefore, GCD of numbers 489, 256, 895 is 1

Given Input Data is 489, 256, 895

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 895 is 5 x 179

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, 256) = 125184

GCD(489, 256) = ( 489 x 256 ) / 125184

GCD(489, 256) = 125184 / 125184

GCD(489, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 489, 256, 895 is 1

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1. What is the GCD of 489, 256, 895?

GCD of 489, 256, 895 is 1

2. Where do I get the detailed procedure to find GCD of 489, 256, 895?

You can find a detailed procedure to find GCD of 489, 256, 895 on our page.

3. How to find GCD of 489, 256, 895 on a calculator?

You can find the GCD of 489, 256, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.