GCD of 999, 279, 675 Calculator

Given Input numbers are 999, 279, 675

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 999, 279, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 279, 675 is 9.

Therefore, GCD of numbers 999, 279, 675 is 9

Given Input Data is 999, 279, 675

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(999, 279) = 30969

GCD(999, 279) = ( 999 x 279 ) / 30969

GCD(999, 279) = 278721 / 30969

GCD(999, 279) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 675

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

LCM(9, 675) = 675

GCD(9, 675) = ( 9 x 675 ) / 675

GCD(9, 675) = 6075 / 675

GCD(9, 675) = 9

GCD of 999, 279, 675 is 9

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1. What is the GCD of 999, 279, 675?

GCD of 999, 279, 675 is 9

2. Where do I get the detailed procedure to find GCD of 999, 279, 675?

You can find a detailed procedure to find GCD of 999, 279, 675 on our page.

3. How to find GCD of 999, 279, 675 on a calculator?

You can find the GCD of 999, 279, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.