GCD of 638, 418, 912, 687 Calculator

Given Input numbers are 638, 418, 912, 687

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 687

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

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 638, 418, 912, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 418, 912, 687 is 1.

Therefore, GCD of numbers 638, 418, 912, 687 is 1

Given Input Data is 638, 418, 912, 687

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 687 is 3 x 229

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(638, 418) = 12122

GCD(638, 418) = ( 638 x 418 ) / 12122

GCD(638, 418) = 266684 / 12122

GCD(638, 418) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 912

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

LCM(22, 912) = 10032

GCD(22, 912) = ( 22 x 912 ) / 10032

GCD(22, 912) = 20064 / 10032

GCD(22, 912) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 638, 418, 912, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 727, 458, 944
• GCD of 399, 927, 852, 917
• GCD of 774, 101, 951, 251
• GCD of 419, 166, 399, 182
• GCD of 704, 499, 694, 743

1. What is the GCD of 638, 418, 912, 687?

GCD of 638, 418, 912, 687 is 1

2. Where do I get the detailed procedure to find GCD of 638, 418, 912, 687?

You can find a detailed procedure to find GCD of 638, 418, 912, 687 on our page.

3. How to find GCD of 638, 418, 912, 687 on a calculator?

You can find the GCD of 638, 418, 912, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.