Where do I get the detailed procedure to find GCD of 213, 333, 209?

You can find a detailed procedure to find GCD of 213, 333, 209 on our page.

How to find GCD of 213, 333, 209 on a calculator?

You can find the GCD of 213, 333, 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 213, 333, 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 213, 333, 209 quickly. Get the easiest ways to solve the greatest common divisor of 213, 333, 209 i.e 1 in different methods as follows.

How to Find GCD of Numbers 213, 333, 209 with Factoring?

Given Input numbers are 213, 333, 209

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 333 :

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

1, 3, 9, 37, 111, 333

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 (213, 333, 209) = 1.

Find GCD of 213, 333, 209 using Prime Factorization

Given numbers are 213, 333, 209

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 333 are 3 x 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 213, 333, 209 using LCM Formula

Given numbers are 213, 333, 209

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

Apply this formula for all numbers.

Step1:

LCM(213, 333) = 23643

GCD(213, 333) = ( 213 x 333 ) / 23643

= 213 / 333

= 213

Step2:

LCM(3, 209) = 627

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

= 3 / 209

= 3

So, Greatest Common Divisor of 213, 333, 209 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 213, 333, 209

Given numbers are 213, 333, 209
The greatest common divisor of numbers 213, 333, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 333, 209 is 1.

FAQs on GCD of 213, 333, 209 Calculator

1. What is the GCD of 213, 333, 209?

GCD of given numbers 213, 333, 209 is 1

2. How to calculate the greatest common divisor of 213, 333, 209?

We can find the highest common divisor of 213, 333, 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 213, 333, 209 i.e 1.

3. How can I use the GCD of 213, 333, 209Calculator?

Out the numbers 213, 333, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.