GCD of 200, 885, 806, 814 Calculator

Given Input numbers are 200, 885, 806, 814

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

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 200, 885, 806, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 885, 806, 814 is 1.

Therefore, GCD of numbers 200, 885, 806, 814 is 1

Given Input Data is 200, 885, 806, 814

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 806 is 2 x 13 x 31

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(200, 885) = 35400

GCD(200, 885) = ( 200 x 885 ) / 35400

GCD(200, 885) = 177000 / 35400

GCD(200, 885) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 806

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

LCM(5, 806) = 4030

GCD(5, 806) = ( 5 x 806 ) / 4030

GCD(5, 806) = 4030 / 4030

GCD(5, 806) = 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 200, 885, 806, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 701, 130, 218
• GCD of 198, 313, 829, 343
• GCD of 885, 943, 153, 771
• GCD of 963, 513, 397, 901
• GCD of 116, 888, 755, 410

1. What is the GCD of 200, 885, 806, 814?

GCD of 200, 885, 806, 814 is 1

2. Where do I get the detailed procedure to find GCD of 200, 885, 806, 814?

You can find a detailed procedure to find GCD of 200, 885, 806, 814 on our page.

3. How to find GCD of 200, 885, 806, 814 on a calculator?

You can find the GCD of 200, 885, 806, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.