GCD of 255, 432, 54, 333 Calculator

Given Input numbers are 255, 432, 54, 333

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 333

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

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 255, 432, 54, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 432, 54, 333 is 3.

Therefore, GCD of numbers 255, 432, 54, 333 is 3

Given Input Data is 255, 432, 54, 333

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 333 is 3 x 3 x 37

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(255, 432) = 36720

GCD(255, 432) = ( 255 x 432 ) / 36720

GCD(255, 432) = 110160 / 36720

GCD(255, 432) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 333

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

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

GCD(3, 333) = 999 / 333

GCD(3, 333) = 3

GCD of 255, 432, 54, 333 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 736, 89, 517
• GCD of 482, 517, 67, 190
• GCD of 533, 458, 23, 421
• GCD of 636, 608, 56, 477
• GCD of 444, 220, 43, 412

1. What is the GCD of 255, 432, 54, 333?

GCD of 255, 432, 54, 333 is 3

2. Where do I get the detailed procedure to find GCD of 255, 432, 54, 333?

You can find a detailed procedure to find GCD of 255, 432, 54, 333 on our page.

3. How to find GCD of 255, 432, 54, 333 on a calculator?

You can find the GCD of 255, 432, 54, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.