GCD of 235, 558, 574 Calculator

Given Input numbers are 235, 558, 574

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 235, 558, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 558, 574 is 1.

Therefore, GCD of numbers 235, 558, 574 is 1

Given Input Data is 235, 558, 574

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

Prime Factorization of 235 is 5 x 47

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

Prime Factorization of 574 is 2 x 7 x 41

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(235, 558) = 131130

GCD(235, 558) = ( 235 x 558 ) / 131130

GCD(235, 558) = 131130 / 131130

GCD(235, 558) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 235, 558, 574 is 1

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1. What is the GCD of 235, 558, 574?

GCD of 235, 558, 574 is 1

2. Where do I get the detailed procedure to find GCD of 235, 558, 574?

You can find a detailed procedure to find GCD of 235, 558, 574 on our page.

3. How to find GCD of 235, 558, 574 on a calculator?

You can find the GCD of 235, 558, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.