GCD of 558, 104, 617, 309 Calculator

Given Input numbers are 558, 104, 617, 309

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 558, 104, 617, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 104, 617, 309 is 1.

Therefore, GCD of numbers 558, 104, 617, 309 is 1

Given Input Data is 558, 104, 617, 309

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 104 is 2 x 2 x 2 x 13

Prime Factorization of 617 is 617

Prime Factorization of 309 is 3 x 103

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, 104) = 29016

GCD(558, 104) = ( 558 x 104 ) / 29016

GCD(558, 104) = 58032 / 29016

GCD(558, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 558, 104, 617, 309 is 1

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1. What is the GCD of 558, 104, 617, 309?

GCD of 558, 104, 617, 309 is 1

2. Where do I get the detailed procedure to find GCD of 558, 104, 617, 309?

You can find a detailed procedure to find GCD of 558, 104, 617, 309 on our page.

3. How to find GCD of 558, 104, 617, 309 on a calculator?

You can find the GCD of 558, 104, 617, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.