GCD of 687, 654, 13, 227 Calculator

Given Input numbers are 687, 654, 13, 227

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 687, 654, 13, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 654, 13, 227 is 1.

Therefore, GCD of numbers 687, 654, 13, 227 is 1

Given Input Data is 687, 654, 13, 227

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 13 is 13

Prime Factorization of 227 is 227

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, 654) = 149766

GCD(687, 654) = ( 687 x 654 ) / 149766

GCD(687, 654) = 449298 / 149766

GCD(687, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 687, 654, 13, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 831, 52, 675
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• GCD of 587, 224, 22, 998
• GCD of 581, 460, 94, 392
• GCD of 678, 230, 10, 900

1. What is the GCD of 687, 654, 13, 227?

GCD of 687, 654, 13, 227 is 1

2. Where do I get the detailed procedure to find GCD of 687, 654, 13, 227?

You can find a detailed procedure to find GCD of 687, 654, 13, 227 on our page.

3. How to find GCD of 687, 654, 13, 227 on a calculator?

You can find the GCD of 687, 654, 13, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.