GCD of 590, 117, 229, 558 Calculator

Given Input numbers are 590, 117, 229, 558

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

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 590, 117, 229, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 117, 229, 558 is 1.

Therefore, GCD of numbers 590, 117, 229, 558 is 1

Given Input Data is 590, 117, 229, 558

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 229 is 229

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(590, 117) = 69030

GCD(590, 117) = ( 590 x 117 ) / 69030

GCD(590, 117) = 69030 / 69030

GCD(590, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 590, 117, 229, 558 is 1

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1. What is the GCD of 590, 117, 229, 558?

GCD of 590, 117, 229, 558 is 1

2. Where do I get the detailed procedure to find GCD of 590, 117, 229, 558?

You can find a detailed procedure to find GCD of 590, 117, 229, 558 on our page.

3. How to find GCD of 590, 117, 229, 558 on a calculator?

You can find the GCD of 590, 117, 229, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.