GCD of 809, 441, 25, 272 Calculator

Given Input numbers are 809, 441, 25, 272

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 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 809, 441, 25, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 441, 25, 272 is 1.

Therefore, GCD of numbers 809, 441, 25, 272 is 1

Given Input Data is 809, 441, 25, 272

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

Prime Factorization of 809 is 809

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 25 is 5 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 441) = 356769

GCD(809, 441) = ( 809 x 441 ) / 356769

GCD(809, 441) = 356769 / 356769

GCD(809, 441) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 809, 441, 25, 272 is 1

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1. What is the GCD of 809, 441, 25, 272?

GCD of 809, 441, 25, 272 is 1

2. Where do I get the detailed procedure to find GCD of 809, 441, 25, 272?

You can find a detailed procedure to find GCD of 809, 441, 25, 272 on our page.

3. How to find GCD of 809, 441, 25, 272 on a calculator?

You can find the GCD of 809, 441, 25, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.