GCD of 806, 819, 77, 455 Calculator

Given Input numbers are 806, 819, 77, 455

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

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 806, 819, 77, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 819, 77, 455 is 1.

Therefore, GCD of numbers 806, 819, 77, 455 is 1

Given Input Data is 806, 819, 77, 455

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 455 is 5 x 7 x 13

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(806, 819) = 50778

GCD(806, 819) = ( 806 x 819 ) / 50778

GCD(806, 819) = 660114 / 50778

GCD(806, 819) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 77

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

LCM(13, 77) = 1001

GCD(13, 77) = ( 13 x 77 ) / 1001

GCD(13, 77) = 1001 / 1001

GCD(13, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 806, 819, 77, 455 is 1

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1. What is the GCD of 806, 819, 77, 455?

GCD of 806, 819, 77, 455 is 1

2. Where do I get the detailed procedure to find GCD of 806, 819, 77, 455?

You can find a detailed procedure to find GCD of 806, 819, 77, 455 on our page.

3. How to find GCD of 806, 819, 77, 455 on a calculator?

You can find the GCD of 806, 819, 77, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.