GCD of 518, 316, 680, 424 Calculator

Given Input numbers are 518, 316, 680, 424

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 518, 316, 680, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 316, 680, 424 is 2.

Therefore, GCD of numbers 518, 316, 680, 424 is 2

Given Input Data is 518, 316, 680, 424

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 316 is 2 x 2 x 79

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 316) = 81844

GCD(518, 316) = ( 518 x 316 ) / 81844

GCD(518, 316) = 163688 / 81844

GCD(518, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 518, 316, 680, 424 is 2

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1. What is the GCD of 518, 316, 680, 424?

GCD of 518, 316, 680, 424 is 2

2. Where do I get the detailed procedure to find GCD of 518, 316, 680, 424?

You can find a detailed procedure to find GCD of 518, 316, 680, 424 on our page.

3. How to find GCD of 518, 316, 680, 424 on a calculator?

You can find the GCD of 518, 316, 680, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.