GCD of 28, 871, 449, 654 Calculator

Given Input numbers are 28, 871, 449, 654

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 28, 871, 449, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 871, 449, 654 is 1.

Therefore, GCD of numbers 28, 871, 449, 654 is 1

Given Input Data is 28, 871, 449, 654

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 871 is 13 x 67

Prime Factorization of 449 is 449

Prime Factorization of 654 is 2 x 3 x 109

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(28, 871) = 24388

GCD(28, 871) = ( 28 x 871 ) / 24388

GCD(28, 871) = 24388 / 24388

GCD(28, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 28, 871, 449, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 924, 210, 701
• GCD of 69, 966, 393, 671
• GCD of 99, 333, 187, 748
• GCD of 34, 621, 854, 694
• GCD of 26, 152, 696, 577

1. What is the GCD of 28, 871, 449, 654?

GCD of 28, 871, 449, 654 is 1

2. Where do I get the detailed procedure to find GCD of 28, 871, 449, 654?

You can find a detailed procedure to find GCD of 28, 871, 449, 654 on our page.

3. How to find GCD of 28, 871, 449, 654 on a calculator?

You can find the GCD of 28, 871, 449, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.