GCD of 224, 812, 68, 518 Calculator

Given Input numbers are 224, 812, 68, 518

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 224, 812, 68, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 812, 68, 518 is 2.

Therefore, GCD of numbers 224, 812, 68, 518 is 2

Given Input Data is 224, 812, 68, 518

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 518 is 2 x 7 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(224, 812) = 6496

GCD(224, 812) = ( 224 x 812 ) / 6496

GCD(224, 812) = 181888 / 6496

GCD(224, 812) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 68

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

LCM(28, 68) = 476

GCD(28, 68) = ( 28 x 68 ) / 476

GCD(28, 68) = 1904 / 476

GCD(28, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 518

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

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

GCD(4, 518) = 2072 / 1036

GCD(4, 518) = 2

GCD of 224, 812, 68, 518 is 2

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1. What is the GCD of 224, 812, 68, 518?

GCD of 224, 812, 68, 518 is 2

2. Where do I get the detailed procedure to find GCD of 224, 812, 68, 518?

You can find a detailed procedure to find GCD of 224, 812, 68, 518 on our page.

3. How to find GCD of 224, 812, 68, 518 on a calculator?

You can find the GCD of 224, 812, 68, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.