GCD of 389, 113, 800 Calculator

Given Input numbers are 389, 113, 800

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 113

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

1, 113

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 389, 113, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 113, 800 is 1.

Therefore, GCD of numbers 389, 113, 800 is 1

Given Input Data is 389, 113, 800

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

Prime Factorization of 389 is 389

Prime Factorization of 113 is 113

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(389, 113) = 43957

GCD(389, 113) = ( 389 x 113 ) / 43957

GCD(389, 113) = 43957 / 43957

GCD(389, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 389, 113, 800 is 1

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1. What is the GCD of 389, 113, 800?

GCD of 389, 113, 800 is 1

2. Where do I get the detailed procedure to find GCD of 389, 113, 800?

You can find a detailed procedure to find GCD of 389, 113, 800 on our page.

3. How to find GCD of 389, 113, 800 on a calculator?

You can find the GCD of 389, 113, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.