GCD of 558, 226, 585 Calculator

Given Input numbers are 558, 226, 585

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

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 558, 226, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 226, 585 is 1.

Therefore, GCD of numbers 558, 226, 585 is 1

Given Input Data is 558, 226, 585

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 226 is 2 x 113

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(558, 226) = 63054

GCD(558, 226) = ( 558 x 226 ) / 63054

GCD(558, 226) = 126108 / 63054

GCD(558, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 558, 226, 585 is 1

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1. What is the GCD of 558, 226, 585?

GCD of 558, 226, 585 is 1

2. Where do I get the detailed procedure to find GCD of 558, 226, 585?

You can find a detailed procedure to find GCD of 558, 226, 585 on our page.

3. How to find GCD of 558, 226, 585 on a calculator?

You can find the GCD of 558, 226, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.