GCD of 489, 423, 816, 894 Calculator

Given Input numbers are 489, 423, 816, 894

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 489, 423, 816, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 423, 816, 894 is 3.

Therefore, GCD of numbers 489, 423, 816, 894 is 3

Given Input Data is 489, 423, 816, 894

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 423) = 68949

GCD(489, 423) = ( 489 x 423 ) / 68949

GCD(489, 423) = 206847 / 68949

GCD(489, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 816

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

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

GCD(3, 816) = 2448 / 816

GCD(3, 816) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

GCD of 489, 423, 816, 894 is 3

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1. What is the GCD of 489, 423, 816, 894?

GCD of 489, 423, 816, 894 is 3

2. Where do I get the detailed procedure to find GCD of 489, 423, 816, 894?

You can find a detailed procedure to find GCD of 489, 423, 816, 894 on our page.

3. How to find GCD of 489, 423, 816, 894 on a calculator?

You can find the GCD of 489, 423, 816, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.