GCD of 687, 318, 424 Calculator

Given Input numbers are 687, 318, 424

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 687, 318, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 318, 424 is 1.

Therefore, GCD of numbers 687, 318, 424 is 1

Given Input Data is 687, 318, 424

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 318 is 2 x 3 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

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(687, 318) = 72822

GCD(687, 318) = ( 687 x 318 ) / 72822

GCD(687, 318) = 218466 / 72822

GCD(687, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 424

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

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

GCD(3, 424) = 1272 / 1272

GCD(3, 424) = 1

GCD of 687, 318, 424 is 1

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1. What is the GCD of 687, 318, 424?

GCD of 687, 318, 424 is 1

2. Where do I get the detailed procedure to find GCD of 687, 318, 424?

You can find a detailed procedure to find GCD of 687, 318, 424 on our page.

3. How to find GCD of 687, 318, 424 on a calculator?

You can find the GCD of 687, 318, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.