GCD of 819, 239, 342, 110 Calculator

Given Input numbers are 819, 239, 342, 110

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 819, 239, 342, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 239, 342, 110 is 1.

Therefore, GCD of numbers 819, 239, 342, 110 is 1

Given Input Data is 819, 239, 342, 110

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 239 is 239

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 110 is 2 x 5 x 11

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(819, 239) = 195741

GCD(819, 239) = ( 819 x 239 ) / 195741

GCD(819, 239) = 195741 / 195741

GCD(819, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 819, 239, 342, 110 is 1

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1. What is the GCD of 819, 239, 342, 110?

GCD of 819, 239, 342, 110 is 1

2. Where do I get the detailed procedure to find GCD of 819, 239, 342, 110?

You can find a detailed procedure to find GCD of 819, 239, 342, 110 on our page.

3. How to find GCD of 819, 239, 342, 110 on a calculator?

You can find the GCD of 819, 239, 342, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.