GCD of 489, 339, 483, 786 Calculator

Given Input numbers are 489, 339, 483, 786

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 489, 339, 483, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 339, 483, 786 is 3.

Therefore, GCD of numbers 489, 339, 483, 786 is 3

Given Input Data is 489, 339, 483, 786

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 339 is 3 x 113

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 786 is 2 x 3 x 131

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, 339) = 55257

GCD(489, 339) = ( 489 x 339 ) / 55257

GCD(489, 339) = 165771 / 55257

GCD(489, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 786

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

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

GCD(3, 786) = 2358 / 786

GCD(3, 786) = 3

GCD of 489, 339, 483, 786 is 3

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1. What is the GCD of 489, 339, 483, 786?

GCD of 489, 339, 483, 786 is 3

2. Where do I get the detailed procedure to find GCD of 489, 339, 483, 786?

You can find a detailed procedure to find GCD of 489, 339, 483, 786 on our page.

3. How to find GCD of 489, 339, 483, 786 on a calculator?

You can find the GCD of 489, 339, 483, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.