GCD of 399, 885, 342 Calculator

Given Input numbers are 399, 885, 342

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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

Greatest Common Divisior

We found the divisors of 399, 885, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 885, 342 is 3.

Therefore, GCD of numbers 399, 885, 342 is 3

Given Input Data is 399, 885, 342

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 885 is 3 x 5 x 59

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

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, 885) = 117705

GCD(399, 885) = ( 399 x 885 ) / 117705

GCD(399, 885) = 353115 / 117705

GCD(399, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

GCD of 399, 885, 342 is 3

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1. What is the GCD of 399, 885, 342?

GCD of 399, 885, 342 is 3

2. Where do I get the detailed procedure to find GCD of 399, 885, 342?

You can find a detailed procedure to find GCD of 399, 885, 342 on our page.

3. How to find GCD of 399, 885, 342 on a calculator?

You can find the GCD of 399, 885, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.