GCD of 814, 539, 15, 441 Calculator

Given Input numbers are 814, 539, 15, 441

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 814, 539, 15, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 539, 15, 441 is 1.

Therefore, GCD of numbers 814, 539, 15, 441 is 1

Given Input Data is 814, 539, 15, 441

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(814, 539) = 39886

GCD(814, 539) = ( 814 x 539 ) / 39886

GCD(814, 539) = 438746 / 39886

GCD(814, 539) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 15

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

LCM(11, 15) = 165

GCD(11, 15) = ( 11 x 15 ) / 165

GCD(11, 15) = 165 / 165

GCD(11, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 814, 539, 15, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 194, 20, 313
• GCD of 619, 750, 13, 299
• GCD of 631, 499, 78, 951
• GCD of 388, 310, 31, 460
• GCD of 619, 790, 87, 426

1. What is the GCD of 814, 539, 15, 441?

GCD of 814, 539, 15, 441 is 1

2. Where do I get the detailed procedure to find GCD of 814, 539, 15, 441?

You can find a detailed procedure to find GCD of 814, 539, 15, 441 on our page.

3. How to find GCD of 814, 539, 15, 441 on a calculator?

You can find the GCD of 814, 539, 15, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.