GCD of 804, 723, 113 Calculator

Given Input numbers are 804, 723, 113

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 804, 723, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 723, 113 is 1.

Therefore, GCD of numbers 804, 723, 113 is 1

Given Input Data is 804, 723, 113

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 723 is 3 x 241

Prime Factorization of 113 is 113

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(804, 723) = 193764

GCD(804, 723) = ( 804 x 723 ) / 193764

GCD(804, 723) = 581292 / 193764

GCD(804, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 113

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

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

GCD(3, 113) = 339 / 339

GCD(3, 113) = 1

GCD of 804, 723, 113 is 1

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1. What is the GCD of 804, 723, 113?

GCD of 804, 723, 113 is 1

2. Where do I get the detailed procedure to find GCD of 804, 723, 113?

You can find a detailed procedure to find GCD of 804, 723, 113 on our page.

3. How to find GCD of 804, 723, 113 on a calculator?

You can find the GCD of 804, 723, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.