GCD of 798, 111, 111, 390 Calculator

Given Input numbers are 798, 111, 111, 390

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 798, 111, 111, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 111, 111, 390 is 3.

Therefore, GCD of numbers 798, 111, 111, 390 is 3

Given Input Data is 798, 111, 111, 390

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 111 is 3 x 37

Prime Factorization of 111 is 3 x 37

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(798, 111) = 29526

GCD(798, 111) = ( 798 x 111 ) / 29526

GCD(798, 111) = 88578 / 29526

GCD(798, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 111

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

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

GCD(3, 111) = 333 / 111

GCD(3, 111) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 390

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

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

GCD(3, 390) = 1170 / 390

GCD(3, 390) = 3

GCD of 798, 111, 111, 390 is 3

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1. What is the GCD of 798, 111, 111, 390?

GCD of 798, 111, 111, 390 is 3

2. Where do I get the detailed procedure to find GCD of 798, 111, 111, 390?

You can find a detailed procedure to find GCD of 798, 111, 111, 390 on our page.

3. How to find GCD of 798, 111, 111, 390 on a calculator?

You can find the GCD of 798, 111, 111, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.