GCD of 117, 810, 38, 333 Calculator

Given Input numbers are 117, 810, 38, 333

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 117, 810, 38, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 810, 38, 333 is 1.

Therefore, GCD of numbers 117, 810, 38, 333 is 1

Given Input Data is 117, 810, 38, 333

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 333 is 3 x 3 x 37

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(117, 810) = 10530

GCD(117, 810) = ( 117 x 810 ) / 10530

GCD(117, 810) = 94770 / 10530

GCD(117, 810) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 38

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

LCM(9, 38) = 342

GCD(9, 38) = ( 9 x 38 ) / 342

GCD(9, 38) = 342 / 342

GCD(9, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 117, 810, 38, 333 is 1

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• GCD of 294, 360, 64, 330
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1. What is the GCD of 117, 810, 38, 333?

GCD of 117, 810, 38, 333 is 1

2. Where do I get the detailed procedure to find GCD of 117, 810, 38, 333?

You can find a detailed procedure to find GCD of 117, 810, 38, 333 on our page.

3. How to find GCD of 117, 810, 38, 333 on a calculator?

You can find the GCD of 117, 810, 38, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.