GCD of 299, 487, 475, 558 Calculator

Given Input numbers are 299, 487, 475, 558

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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 299, 487, 475, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 487, 475, 558 is 1.

Therefore, GCD of numbers 299, 487, 475, 558 is 1

Given Input Data is 299, 487, 475, 558

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 487 is 487

Prime Factorization of 475 is 5 x 5 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(299, 487) = 145613

GCD(299, 487) = ( 299 x 487 ) / 145613

GCD(299, 487) = 145613 / 145613

GCD(299, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 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 299, 487, 475, 558 is 1

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1. What is the GCD of 299, 487, 475, 558?

GCD of 299, 487, 475, 558 is 1

2. Where do I get the detailed procedure to find GCD of 299, 487, 475, 558?

You can find a detailed procedure to find GCD of 299, 487, 475, 558 on our page.

3. How to find GCD of 299, 487, 475, 558 on a calculator?

You can find the GCD of 299, 487, 475, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.