GCD of 399, 222, 678 Calculator

Given Input numbers are 399, 222, 678

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 399, 222, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 222, 678 is 3.

Therefore, GCD of numbers 399, 222, 678 is 3

Given Input Data is 399, 222, 678

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 678 is 2 x 3 x 113

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(399, 222) = 29526

GCD(399, 222) = ( 399 x 222 ) / 29526

GCD(399, 222) = 88578 / 29526

GCD(399, 222) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 678

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

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

GCD(3, 678) = 2034 / 678

GCD(3, 678) = 3

GCD of 399, 222, 678 is 3

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1. What is the GCD of 399, 222, 678?

GCD of 399, 222, 678 is 3

2. Where do I get the detailed procedure to find GCD of 399, 222, 678?

You can find a detailed procedure to find GCD of 399, 222, 678 on our page.

3. How to find GCD of 399, 222, 678 on a calculator?

You can find the GCD of 399, 222, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.