GCD of 806, 472, 20, 505 Calculator

Given Input numbers are 806, 472, 20, 505

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 806, 472, 20, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 472, 20, 505 is 1.

Therefore, GCD of numbers 806, 472, 20, 505 is 1

Given Input Data is 806, 472, 20, 505

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 505 is 5 x 101

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, 472) = 190216

GCD(806, 472) = ( 806 x 472 ) / 190216

GCD(806, 472) = 380432 / 190216

GCD(806, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 806, 472, 20, 505 is 1

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1. What is the GCD of 806, 472, 20, 505?

GCD of 806, 472, 20, 505 is 1

2. Where do I get the detailed procedure to find GCD of 806, 472, 20, 505?

You can find a detailed procedure to find GCD of 806, 472, 20, 505 on our page.

3. How to find GCD of 806, 472, 20, 505 on a calculator?

You can find the GCD of 806, 472, 20, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.