GCD of 646, 489, 90 Calculator

Given Input numbers are 646, 489, 90

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 489

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

1, 3, 163, 489

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 646, 489, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 489, 90 is 1.

Therefore, GCD of numbers 646, 489, 90 is 1

Given Input Data is 646, 489, 90

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 489 is 3 x 163

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(646, 489) = 315894

GCD(646, 489) = ( 646 x 489 ) / 315894

GCD(646, 489) = 315894 / 315894

GCD(646, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 646, 489, 90 is 1

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1. What is the GCD of 646, 489, 90?

GCD of 646, 489, 90 is 1

2. Where do I get the detailed procedure to find GCD of 646, 489, 90?

You can find a detailed procedure to find GCD of 646, 489, 90 on our page.

3. How to find GCD of 646, 489, 90 on a calculator?

You can find the GCD of 646, 489, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.