GCD of 687, 648, 268 Calculator

Given Input numbers are 687, 648, 268

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 687, 648, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 648, 268 is 1.

Therefore, GCD of numbers 687, 648, 268 is 1

Given Input Data is 687, 648, 268

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 268 is 2 x 2 x 67

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, 648) = 148392

GCD(687, 648) = ( 687 x 648 ) / 148392

GCD(687, 648) = 445176 / 148392

GCD(687, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 268

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

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

GCD(3, 268) = 804 / 804

GCD(3, 268) = 1

GCD of 687, 648, 268 is 1

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1. What is the GCD of 687, 648, 268?

GCD of 687, 648, 268 is 1

2. Where do I get the detailed procedure to find GCD of 687, 648, 268?

You can find a detailed procedure to find GCD of 687, 648, 268 on our page.

3. How to find GCD of 687, 648, 268 on a calculator?

You can find the GCD of 687, 648, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.