GCD of 518, 500, 234 Calculator

Given Input numbers are 518, 500, 234

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 518, 500, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 500, 234 is 2.

Therefore, GCD of numbers 518, 500, 234 is 2

Given Input Data is 518, 500, 234

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 234 is 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(518, 500) = 129500

GCD(518, 500) = ( 518 x 500 ) / 129500

GCD(518, 500) = 259000 / 129500

GCD(518, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 518, 500, 234 is 2

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1. What is the GCD of 518, 500, 234?

GCD of 518, 500, 234 is 2

2. Where do I get the detailed procedure to find GCD of 518, 500, 234?

You can find a detailed procedure to find GCD of 518, 500, 234 on our page.

3. How to find GCD of 518, 500, 234 on a calculator?

You can find the GCD of 518, 500, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.