GCD of 489, 651, 855, 813 Calculator

Given Input numbers are 489, 651, 855, 813

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 489, 651, 855, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 651, 855, 813 is 3.

Therefore, GCD of numbers 489, 651, 855, 813 is 3

Given Input Data is 489, 651, 855, 813

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 813 is 3 x 271

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, 651) = 106113

GCD(489, 651) = ( 489 x 651 ) / 106113

GCD(489, 651) = 318339 / 106113

GCD(489, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 813

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

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

GCD(3, 813) = 2439 / 813

GCD(3, 813) = 3

GCD of 489, 651, 855, 813 is 3

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1. What is the GCD of 489, 651, 855, 813?

GCD of 489, 651, 855, 813 is 3

2. Where do I get the detailed procedure to find GCD of 489, 651, 855, 813?

You can find a detailed procedure to find GCD of 489, 651, 855, 813 on our page.

3. How to find GCD of 489, 651, 855, 813 on a calculator?

You can find the GCD of 489, 651, 855, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.