GCD of 809, 249, 209, 561 Calculator

Given Input numbers are 809, 249, 209, 561

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 209

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

1, 11, 19, 209

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 809, 249, 209, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 249, 209, 561 is 1.

Therefore, GCD of numbers 809, 249, 209, 561 is 1

Given Input Data is 809, 249, 209, 561

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

Prime Factorization of 809 is 809

Prime Factorization of 249 is 3 x 83

Prime Factorization of 209 is 11 x 19

Prime Factorization of 561 is 3 x 11 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(809, 249) = 201441

GCD(809, 249) = ( 809 x 249 ) / 201441

GCD(809, 249) = 201441 / 201441

GCD(809, 249) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 809, 249, 209, 561 is 1

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1. What is the GCD of 809, 249, 209, 561?

GCD of 809, 249, 209, 561 is 1

2. Where do I get the detailed procedure to find GCD of 809, 249, 209, 561?

You can find a detailed procedure to find GCD of 809, 249, 209, 561 on our page.

3. How to find GCD of 809, 249, 209, 561 on a calculator?

You can find the GCD of 809, 249, 209, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.