GCD of 205, 339, 369, 663 Calculator

Given Input numbers are 205, 339, 369, 663

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 339

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

1, 3, 113, 339

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 205, 339, 369, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 339, 369, 663 is 1.

Therefore, GCD of numbers 205, 339, 369, 663 is 1

Given Input Data is 205, 339, 369, 663

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 339 is 3 x 113

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 663 is 3 x 13 x 17

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(205, 339) = 69495

GCD(205, 339) = ( 205 x 339 ) / 69495

GCD(205, 339) = 69495 / 69495

GCD(205, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 205, 339, 369, 663 is 1

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1. What is the GCD of 205, 339, 369, 663?

GCD of 205, 339, 369, 663 is 1

2. Where do I get the detailed procedure to find GCD of 205, 339, 369, 663?

You can find a detailed procedure to find GCD of 205, 339, 369, 663 on our page.

3. How to find GCD of 205, 339, 369, 663 on a calculator?

You can find the GCD of 205, 339, 369, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.