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GCD of 369, 209, 333 Calculator

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


Online GCD Calculator is useful to find the GCD of 369, 209, 333 quickly. Get the easiest ways to solve the greatest common divisor of 369, 209, 333 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 209, 333 with Factoring?

Given Input numbers are 369, 209, 333

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 209 :

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

1, 11, 19, 209

Divisors of 333 :

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

1, 3, 9, 37, 111, 333


GCD of numbers is the greatest common divisor

So, the GCD (369, 209, 333) = 1.

Find GCD of 369, 209, 333 using Prime Factorization

Given numbers are 369, 209, 333

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 209 are 11 x 19

Prime factors of 333 are 3 x 3 x 37

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

Steps to Calculate GCD of 369, 209, 333 using LCM Formula

Given numbers are 369, 209, 333

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

Apply this formula for all numbers.

Step1:

LCM(369, 209) = 77121

GCD(369, 209) = ( 369 x 209 ) / 77121

= 369 / 209

= 369


Step2:

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

= 1 / 333

= 1


So, Greatest Common Divisor of 369, 209, 333 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 209, 333

Given numbers are 369, 209, 333
The greatest common divisor of numbers 369, 209, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 209, 333 is 1.

FAQs on GCD of 369, 209, 333 Calculator

1. What is the GCD of 369, 209, 333?

GCD of given numbers 369, 209, 333 is 1


2. How to calculate the greatest common divisor of 369, 209, 333?

We can find the highest common divisor of 369, 209, 333 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 369, 209, 333 i.e 1.


3. How can I use the GCD of 369, 209, 333Calculator?

Out the numbers 369, 209, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.