Where do I get the detailed procedure to find GCD of 489, 111, 209?

You can find a detailed procedure to find GCD of 489, 111, 209 on our page.

How to find GCD of 489, 111, 209 on a calculator?

You can find the GCD of 489, 111, 209 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, 111, 209 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, 111, 209 quickly. Get the easiest ways to solve the greatest common divisor of 489, 111, 209 i.e 1 in different methods as follows.

How to Find GCD of Numbers 489, 111, 209 with Factoring?

Given Input numbers are 489, 111, 209

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

GCD of numbers is the greatest common divisor

So, the GCD (489, 111, 209) = 1.

Find GCD of 489, 111, 209 using Prime Factorization

Given numbers are 489, 111, 209

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 111 are 3 x 37

Prime factors of 209 are 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 489, 111, 209 using LCM Formula

Given numbers are 489, 111, 209

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

Apply this formula for all numbers.

Step1:

LCM(489, 111) = 18093

GCD(489, 111) = ( 489 x 111 ) / 18093

= 489 / 111

= 489

Step2:

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

= 3 / 209

= 3

So, Greatest Common Divisor of 489, 111, 209 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 489, 111, 209

Given numbers are 489, 111, 209
The greatest common divisor of numbers 489, 111, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 111, 209 is 1.

FAQs on GCD of 489, 111, 209 Calculator

1. What is the GCD of 489, 111, 209?

GCD of given numbers 489, 111, 209 is 1

2. How to calculate the greatest common divisor of 489, 111, 209?

We can find the highest common divisor of 489, 111, 209 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, 111, 209 i.e 1.

3. How can I use the GCD of 489, 111, 209Calculator?

Out the numbers 489, 111, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.