GCD of 809, 920, 32, 504 Calculator

Given Input numbers are 809, 920, 32, 504

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 809, 920, 32, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 920, 32, 504 is 1.

Therefore, GCD of numbers 809, 920, 32, 504 is 1

Given Input Data is 809, 920, 32, 504

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

Prime Factorization of 809 is 809

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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, 920) = 744280

GCD(809, 920) = ( 809 x 920 ) / 744280

GCD(809, 920) = 744280 / 744280

GCD(809, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 809, 920, 32, 504 is 1

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1. What is the GCD of 809, 920, 32, 504?

GCD of 809, 920, 32, 504 is 1

2. Where do I get the detailed procedure to find GCD of 809, 920, 32, 504?

You can find a detailed procedure to find GCD of 809, 920, 32, 504 on our page.

3. How to find GCD of 809, 920, 32, 504 on a calculator?

You can find the GCD of 809, 920, 32, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.