Where do I get the detailed procedure to find GCD of 489, 255, 717?

You can find a detailed procedure to find GCD of 489, 255, 717 on our page.

How to find GCD of 489, 255, 717 on a calculator?

You can find the GCD of 489, 255, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 489, 255, 717 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 489, 255, 717 quickly. Get the easiest ways to solve the greatest common divisor of 489, 255, 717 i.e 3 in different methods as follows.

How to Find GCD of Numbers 489, 255, 717 with Factoring?

Given Input numbers are 489, 255, 717

In the factoring method, we have to find the divisors of all numbers

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (489, 255, 717) = 3.

Find GCD of 489, 255, 717 using Prime Factorization

Given numbers are 489, 255, 717

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 255 are 3 x 5 x 17

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 489, 255, 717 is 3.

Steps to Calculate GCD of 489, 255, 717 using LCM Formula

Given numbers are 489, 255, 717

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(489, 255) = 41565

GCD(489, 255) = ( 489 x 255 ) / 41565

= 489 / 255

= 489

Step2:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 489, 255, 717 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 489, 255, 717

Given numbers are 489, 255, 717
The greatest common divisor of numbers 489, 255, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 255, 717 is 3.

FAQs on GCD of 489, 255, 717 Calculator

1. What is the GCD of 489, 255, 717?

GCD of given numbers 489, 255, 717 is 3

2. How to calculate the greatest common divisor of 489, 255, 717?

We can find the highest common divisor of 489, 255, 717 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 489, 255, 717 i.e 3.

3. How can I use the GCD of 489, 255, 717Calculator?

Out the numbers 489, 255, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.