GCD of 489, 354, 128 Calculator

Given Input numbers are 489, 354, 128

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Greatest Common Divisior

We found the divisors of 489, 354, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 354, 128 is 1.

Therefore, GCD of numbers 489, 354, 128 is 1

Given Input Data is 489, 354, 128

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 354) = 57702

GCD(489, 354) = ( 489 x 354 ) / 57702

GCD(489, 354) = 173106 / 57702

GCD(489, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 128

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

LCM(3, 128) = 384

GCD(3, 128) = ( 3 x 128 ) / 384

GCD(3, 128) = 384 / 384

GCD(3, 128) = 1

GCD of 489, 354, 128 is 1

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1. What is the GCD of 489, 354, 128?

GCD of 489, 354, 128 is 1

2. Where do I get the detailed procedure to find GCD of 489, 354, 128?

You can find a detailed procedure to find GCD of 489, 354, 128 on our page.

3. How to find GCD of 489, 354, 128 on a calculator?

You can find the GCD of 489, 354, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.