GCD of 247, 209, 558 Calculator

Given Input numbers are 247, 209, 558

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

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 209

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

1, 11, 19, 209

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 247, 209, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 247, 209, 558 is 1.

Therefore, GCD of numbers 247, 209, 558 is 1

Given Input Data is 247, 209, 558

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

Prime Factorization of 247 is 13 x 19

Prime Factorization of 209 is 11 x 19

Prime Factorization of 558 is 2 x 3 x 3 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(247, 209) = 2717

GCD(247, 209) = ( 247 x 209 ) / 2717

GCD(247, 209) = 51623 / 2717

GCD(247, 209) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 558

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

LCM(19, 558) = 10602

GCD(19, 558) = ( 19 x 558 ) / 10602

GCD(19, 558) = 10602 / 10602

GCD(19, 558) = 1

GCD of 247, 209, 558 is 1

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1. What is the GCD of 247, 209, 558?

GCD of 247, 209, 558 is 1

2. Where do I get the detailed procedure to find GCD of 247, 209, 558?

You can find a detailed procedure to find GCD of 247, 209, 558 on our page.

3. How to find GCD of 247, 209, 558 on a calculator?

You can find the GCD of 247, 209, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.