GCD of 227, 216, 565, 209 Calculator

Given Input numbers are 227, 216, 565, 209

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 227, 216, 565, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 216, 565, 209 is 1.

Therefore, GCD of numbers 227, 216, 565, 209 is 1

Given Input Data is 227, 216, 565, 209

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

Prime Factorization of 227 is 227

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 565 is 5 x 113

Prime Factorization of 209 is 11 x 19

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(227, 216) = 49032

GCD(227, 216) = ( 227 x 216 ) / 49032

GCD(227, 216) = 49032 / 49032

GCD(227, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 227, 216, 565, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 680, 630, 185
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• GCD of 690, 358, 880, 951

1. What is the GCD of 227, 216, 565, 209?

GCD of 227, 216, 565, 209 is 1

2. Where do I get the detailed procedure to find GCD of 227, 216, 565, 209?

You can find a detailed procedure to find GCD of 227, 216, 565, 209 on our page.

3. How to find GCD of 227, 216, 565, 209 on a calculator?

You can find the GCD of 227, 216, 565, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.