GCD of 809, 741, 15, 806 Calculator

Given Input numbers are 809, 741, 15, 806

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 15

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

1, 3, 5, 15

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 809, 741, 15, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 741, 15, 806 is 1.

Therefore, GCD of numbers 809, 741, 15, 806 is 1

Given Input Data is 809, 741, 15, 806

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

Prime Factorization of 809 is 809

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 806 is 2 x 13 x 31

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(809, 741) = 599469

GCD(809, 741) = ( 809 x 741 ) / 599469

GCD(809, 741) = 599469 / 599469

GCD(809, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 809, 741, 15, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 189, 10, 255
• GCD of 947, 850, 40, 906
• GCD of 345, 586, 24, 883
• GCD of 375, 372, 30, 132
• GCD of 548, 713, 70, 508

1. What is the GCD of 809, 741, 15, 806?

GCD of 809, 741, 15, 806 is 1

2. Where do I get the detailed procedure to find GCD of 809, 741, 15, 806?

You can find a detailed procedure to find GCD of 809, 741, 15, 806 on our page.

3. How to find GCD of 809, 741, 15, 806 on a calculator?

You can find the GCD of 809, 741, 15, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.