GCD of 669, 204, 272 Calculator

Given Input numbers are 669, 204, 272

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 669, 204, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 204, 272 is 1.

Therefore, GCD of numbers 669, 204, 272 is 1

Given Input Data is 669, 204, 272

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 272 is 2 x 2 x 2 x 2 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(669, 204) = 45492

GCD(669, 204) = ( 669 x 204 ) / 45492

GCD(669, 204) = 136476 / 45492

GCD(669, 204) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 272

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

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

GCD(3, 272) = 816 / 816

GCD(3, 272) = 1

GCD of 669, 204, 272 is 1

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1. What is the GCD of 669, 204, 272?

GCD of 669, 204, 272 is 1

2. Where do I get the detailed procedure to find GCD of 669, 204, 272?

You can find a detailed procedure to find GCD of 669, 204, 272 on our page.

3. How to find GCD of 669, 204, 272 on a calculator?

You can find the GCD of 669, 204, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.