Where do I get the detailed procedure to find GCD of 189, 333, 259?

You can find a detailed procedure to find GCD of 189, 333, 259 on our page.

How to find GCD of 189, 333, 259 on a calculator?

You can find the GCD of 189, 333, 259 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 189, 333, 259 Calculator

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

Online GCD Calculator is useful to find the GCD of 189, 333, 259 quickly. Get the easiest ways to solve the greatest common divisor of 189, 333, 259 i.e 1 in different methods as follows.

How to Find GCD of Numbers 189, 333, 259 with Factoring?

Given Input numbers are 189, 333, 259

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

GCD of numbers is the greatest common divisor

So, the GCD (189, 333, 259) = 1.

Find GCD of 189, 333, 259 using Prime Factorization

Given numbers are 189, 333, 259

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 333 are 3 x 3 x 37

Prime factors of 259 are 7 x 37

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

Steps to Calculate GCD of 189, 333, 259 using LCM Formula

Given numbers are 189, 333, 259

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

Apply this formula for all numbers.

Step1:

LCM(189, 333) = 6993

GCD(189, 333) = ( 189 x 333 ) / 6993

= 189 / 333

= 189

Step2:

LCM(9, 259) = 2331

GCD(9, 259) = ( 9 x 259 ) / 2331

= 9 / 259

= 9

So, Greatest Common Divisor of 189, 333, 259 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 189, 333, 259

Given numbers are 189, 333, 259
The greatest common divisor of numbers 189, 333, 259 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 333, 259 is 1.

FAQs on GCD of 189, 333, 259 Calculator

1. What is the GCD of 189, 333, 259?

GCD of given numbers 189, 333, 259 is 1

2. How to calculate the greatest common divisor of 189, 333, 259?

We can find the highest common divisor of 189, 333, 259 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 189, 333, 259 i.e 1.

3. How can I use the GCD of 189, 333, 259Calculator?

Out the numbers 189, 333, 259 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.