GCD of 209, 339, 465 Calculator

Given Input numbers are 209, 339, 465

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 209, 339, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 339, 465 is 1.

Therefore, GCD of numbers 209, 339, 465 is 1

Given Input Data is 209, 339, 465

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 209 is 11 x 19

Prime Factorization of 339 is 3 x 113

Prime Factorization of 465 is 3 x 5 x 31

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(209, 339) = 70851

GCD(209, 339) = ( 209 x 339 ) / 70851

GCD(209, 339) = 70851 / 70851

GCD(209, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 209, 339, 465 is 1

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1. What is the GCD of 209, 339, 465?

GCD of 209, 339, 465 is 1

2. Where do I get the detailed procedure to find GCD of 209, 339, 465?

You can find a detailed procedure to find GCD of 209, 339, 465 on our page.

3. How to find GCD of 209, 339, 465 on a calculator?

You can find the GCD of 209, 339, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.