GCD of 518, 414, 814 Calculator

Given Input numbers are 518, 414, 814

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 518, 414, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 414, 814 is 2.

Therefore, GCD of numbers 518, 414, 814 is 2

Given Input Data is 518, 414, 814

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 814 is 2 x 11 x 37

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, 414) = 107226

GCD(518, 414) = ( 518 x 414 ) / 107226

GCD(518, 414) = 214452 / 107226

GCD(518, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 518, 414, 814 is 2

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1. What is the GCD of 518, 414, 814?

GCD of 518, 414, 814 is 2

2. Where do I get the detailed procedure to find GCD of 518, 414, 814?

You can find a detailed procedure to find GCD of 518, 414, 814 on our page.

3. How to find GCD of 518, 414, 814 on a calculator?

You can find the GCD of 518, 414, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.