GCD of 323, 806, 48, 561 Calculator

Given Input numbers are 323, 806, 48, 561

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 323, 806, 48, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 806, 48, 561 is 1.

Therefore, GCD of numbers 323, 806, 48, 561 is 1

Given Input Data is 323, 806, 48, 561

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 561 is 3 x 11 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(323, 806) = 260338

GCD(323, 806) = ( 323 x 806 ) / 260338

GCD(323, 806) = 260338 / 260338

GCD(323, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 323, 806, 48, 561 is 1

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1. What is the GCD of 323, 806, 48, 561?

GCD of 323, 806, 48, 561 is 1

2. Where do I get the detailed procedure to find GCD of 323, 806, 48, 561?

You can find a detailed procedure to find GCD of 323, 806, 48, 561 on our page.

3. How to find GCD of 323, 806, 48, 561 on a calculator?

You can find the GCD of 323, 806, 48, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.