GCD of 558, 297, 893, 470 Calculator

Given Input numbers are 558, 297, 893, 470

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 558, 297, 893, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 297, 893, 470 is 1.

Therefore, GCD of numbers 558, 297, 893, 470 is 1

Given Input Data is 558, 297, 893, 470

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 893 is 19 x 47

Prime Factorization of 470 is 2 x 5 x 47

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, 297) = 18414

GCD(558, 297) = ( 558 x 297 ) / 18414

GCD(558, 297) = 165726 / 18414

GCD(558, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 893

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

LCM(9, 893) = 8037

GCD(9, 893) = ( 9 x 893 ) / 8037

GCD(9, 893) = 8037 / 8037

GCD(9, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 558, 297, 893, 470 is 1

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1. What is the GCD of 558, 297, 893, 470?

GCD of 558, 297, 893, 470 is 1

2. Where do I get the detailed procedure to find GCD of 558, 297, 893, 470?

You can find a detailed procedure to find GCD of 558, 297, 893, 470 on our page.

3. How to find GCD of 558, 297, 893, 470 on a calculator?

You can find the GCD of 558, 297, 893, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.