GCD of 815, 873, 208, 814 Calculator

Given Input numbers are 815, 873, 208, 814

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

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 815, 873, 208, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 873, 208, 814 is 1.

Therefore, GCD of numbers 815, 873, 208, 814 is 1

Given Input Data is 815, 873, 208, 814

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

Prime Factorization of 815 is 5 x 163

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 814 is 2 x 11 x 37

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(815, 873) = 711495

GCD(815, 873) = ( 815 x 873 ) / 711495

GCD(815, 873) = 711495 / 711495

GCD(815, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 815, 873, 208, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 565, 261, 195
• GCD of 623, 136, 807, 862
• GCD of 788, 315, 192, 647
• GCD of 291, 816, 365, 297
• GCD of 390, 560, 148, 823

1. What is the GCD of 815, 873, 208, 814?

GCD of 815, 873, 208, 814 is 1

2. Where do I get the detailed procedure to find GCD of 815, 873, 208, 814?

You can find a detailed procedure to find GCD of 815, 873, 208, 814 on our page.

3. How to find GCD of 815, 873, 208, 814 on a calculator?

You can find the GCD of 815, 873, 208, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.