GCD of 687, 254, 21, 284 Calculator

Given Input numbers are 687, 254, 21, 284

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 687, 254, 21, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 254, 21, 284 is 1.

Therefore, GCD of numbers 687, 254, 21, 284 is 1

Given Input Data is 687, 254, 21, 284

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 254 is 2 x 127

Prime Factorization of 21 is 3 x 7

Prime Factorization of 284 is 2 x 2 x 71

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, 254) = 174498

GCD(687, 254) = ( 687 x 254 ) / 174498

GCD(687, 254) = 174498 / 174498

GCD(687, 254) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 687, 254, 21, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 256, 94, 731
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• GCD of 589, 699, 48, 817

1. What is the GCD of 687, 254, 21, 284?

GCD of 687, 254, 21, 284 is 1

2. Where do I get the detailed procedure to find GCD of 687, 254, 21, 284?

You can find a detailed procedure to find GCD of 687, 254, 21, 284 on our page.

3. How to find GCD of 687, 254, 21, 284 on a calculator?

You can find the GCD of 687, 254, 21, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.