GCD of 489, 789, 40, 224 Calculator

Given Input numbers are 489, 789, 40, 224

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 489, 789, 40, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 789, 40, 224 is 1.

Therefore, GCD of numbers 489, 789, 40, 224 is 1

Given Input Data is 489, 789, 40, 224

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 789 is 3 x 263

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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, 789) = 128607

GCD(489, 789) = ( 489 x 789 ) / 128607

GCD(489, 789) = 385821 / 128607

GCD(489, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 489, 789, 40, 224 is 1

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1. What is the GCD of 489, 789, 40, 224?

GCD of 489, 789, 40, 224 is 1

2. Where do I get the detailed procedure to find GCD of 489, 789, 40, 224?

You can find a detailed procedure to find GCD of 489, 789, 40, 224 on our page.

3. How to find GCD of 489, 789, 40, 224 on a calculator?

You can find the GCD of 489, 789, 40, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.