GCD of 687, 428, 255, 313 Calculator

Given Input numbers are 687, 428, 255, 313

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 687, 428, 255, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 428, 255, 313 is 1.

Therefore, GCD of numbers 687, 428, 255, 313 is 1

Given Input Data is 687, 428, 255, 313

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 313 is 313

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, 428) = 294036

GCD(687, 428) = ( 687 x 428 ) / 294036

GCD(687, 428) = 294036 / 294036

GCD(687, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 687, 428, 255, 313 is 1

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• GCD of 726, 846, 607, 532
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1. What is the GCD of 687, 428, 255, 313?

GCD of 687, 428, 255, 313 is 1

2. Where do I get the detailed procedure to find GCD of 687, 428, 255, 313?

You can find a detailed procedure to find GCD of 687, 428, 255, 313 on our page.

3. How to find GCD of 687, 428, 255, 313 on a calculator?

You can find the GCD of 687, 428, 255, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.