GCD of 438, 257, 580, 558 Calculator

Given Input numbers are 438, 257, 580, 558

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 438, 257, 580, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 257, 580, 558 is 1.

Therefore, GCD of numbers 438, 257, 580, 558 is 1

Given Input Data is 438, 257, 580, 558

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 257 is 257

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(438, 257) = 112566

GCD(438, 257) = ( 438 x 257 ) / 112566

GCD(438, 257) = 112566 / 112566

GCD(438, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 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 438, 257, 580, 558 is 1

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1. What is the GCD of 438, 257, 580, 558?

GCD of 438, 257, 580, 558 is 1

2. Where do I get the detailed procedure to find GCD of 438, 257, 580, 558?

You can find a detailed procedure to find GCD of 438, 257, 580, 558 on our page.

3. How to find GCD of 438, 257, 580, 558 on a calculator?

You can find the GCD of 438, 257, 580, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.