GCD of 114, 999, 473 Calculator

Given Input numbers are 114, 999, 473

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 114, 999, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 999, 473 is 1.

Therefore, GCD of numbers 114, 999, 473 is 1

Given Input Data is 114, 999, 473

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 473 is 11 x 43

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(114, 999) = 37962

GCD(114, 999) = ( 114 x 999 ) / 37962

GCD(114, 999) = 113886 / 37962

GCD(114, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 473

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

LCM(3, 473) = 1419

GCD(3, 473) = ( 3 x 473 ) / 1419

GCD(3, 473) = 1419 / 1419

GCD(3, 473) = 1

GCD of 114, 999, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 857, 963
• GCD of 471, 812, 419
• GCD of 558, 955, 109
• GCD of 835, 327, 979
• GCD of 375, 217, 526

1. What is the GCD of 114, 999, 473?

GCD of 114, 999, 473 is 1

2. Where do I get the detailed procedure to find GCD of 114, 999, 473?

You can find a detailed procedure to find GCD of 114, 999, 473 on our page.

3. How to find GCD of 114, 999, 473 on a calculator?

You can find the GCD of 114, 999, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.