GCD of 518, 764, 594, 368 Calculator

Given Input numbers are 518, 764, 594, 368

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 518, 764, 594, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 764, 594, 368 is 2.

Therefore, GCD of numbers 518, 764, 594, 368 is 2

Given Input Data is 518, 764, 594, 368

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 764 is 2 x 2 x 191

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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, 764) = 197876

GCD(518, 764) = ( 518 x 764 ) / 197876

GCD(518, 764) = 395752 / 197876

GCD(518, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 518, 764, 594, 368 is 2

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1. What is the GCD of 518, 764, 594, 368?

GCD of 518, 764, 594, 368 is 2

2. Where do I get the detailed procedure to find GCD of 518, 764, 594, 368?

You can find a detailed procedure to find GCD of 518, 764, 594, 368 on our page.

3. How to find GCD of 518, 764, 594, 368 on a calculator?

You can find the GCD of 518, 764, 594, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.