GCD of 489, 990, 104, 433 Calculator

Given Input numbers are 489, 990, 104, 433

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 489, 990, 104, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 990, 104, 433 is 1.

Therefore, GCD of numbers 489, 990, 104, 433 is 1

Given Input Data is 489, 990, 104, 433

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 433 is 433

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, 990) = 161370

GCD(489, 990) = ( 489 x 990 ) / 161370

GCD(489, 990) = 484110 / 161370

GCD(489, 990) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 104

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

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

GCD(3, 104) = 312 / 312

GCD(3, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 489, 990, 104, 433 is 1

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• GCD of 193, 909, 337, 154
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1. What is the GCD of 489, 990, 104, 433?

GCD of 489, 990, 104, 433 is 1

2. Where do I get the detailed procedure to find GCD of 489, 990, 104, 433?

You can find a detailed procedure to find GCD of 489, 990, 104, 433 on our page.

3. How to find GCD of 489, 990, 104, 433 on a calculator?

You can find the GCD of 489, 990, 104, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.