GCD of 230, 235, 472, 590 Calculator

Given Input numbers are 230, 235, 472, 590

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 235

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

1, 5, 47, 235

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 590

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

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

Greatest Common Divisior

We found the divisors of 230, 235, 472, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 235, 472, 590 is 1.

Therefore, GCD of numbers 230, 235, 472, 590 is 1

Given Input Data is 230, 235, 472, 590

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 235 is 5 x 47

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 590 is 2 x 5 x 59

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(230, 235) = 10810

GCD(230, 235) = ( 230 x 235 ) / 10810

GCD(230, 235) = 54050 / 10810

GCD(230, 235) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 472

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

LCM(5, 472) = 2360

GCD(5, 472) = ( 5 x 472 ) / 2360

GCD(5, 472) = 2360 / 2360

GCD(5, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 230, 235, 472, 590 is 1

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1. What is the GCD of 230, 235, 472, 590?

GCD of 230, 235, 472, 590 is 1

2. Where do I get the detailed procedure to find GCD of 230, 235, 472, 590?

You can find a detailed procedure to find GCD of 230, 235, 472, 590 on our page.

3. How to find GCD of 230, 235, 472, 590 on a calculator?

You can find the GCD of 230, 235, 472, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.