GCD of 225, 333, 669 Calculator

Given Input numbers are 225, 333, 669

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 225, 333, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 333, 669 is 3.

Therefore, GCD of numbers 225, 333, 669 is 3

Given Input Data is 225, 333, 669

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 669 is 3 x 223

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(225, 333) = 8325

GCD(225, 333) = ( 225 x 333 ) / 8325

GCD(225, 333) = 74925 / 8325

GCD(225, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 669

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

LCM(9, 669) = 2007

GCD(9, 669) = ( 9 x 669 ) / 2007

GCD(9, 669) = 6021 / 2007

GCD(9, 669) = 3

GCD of 225, 333, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 701, 561
• GCD of 651, 535, 576
• GCD of 864, 828, 133
• GCD of 725, 471, 362
• GCD of 952, 884, 209

1. What is the GCD of 225, 333, 669?

GCD of 225, 333, 669 is 3

2. Where do I get the detailed procedure to find GCD of 225, 333, 669?

You can find a detailed procedure to find GCD of 225, 333, 669 on our page.

3. How to find GCD of 225, 333, 669 on a calculator?

You can find the GCD of 225, 333, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.