GCD of 255, 207, 90, 324 Calculator

Given Input numbers are 255, 207, 90, 324

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 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 255, 207, 90, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 207, 90, 324 is 3.

Therefore, GCD of numbers 255, 207, 90, 324 is 3

Given Input Data is 255, 207, 90, 324

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 207 is 3 x 3 x 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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, 207) = 17595

GCD(255, 207) = ( 255 x 207 ) / 17595

GCD(255, 207) = 52785 / 17595

GCD(255, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 324

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

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

GCD(3, 324) = 972 / 324

GCD(3, 324) = 3

GCD of 255, 207, 90, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 579, 46, 354
• GCD of 897, 196, 54, 546
• GCD of 176, 540, 25, 229
• GCD of 386, 593, 54, 681
• GCD of 561, 722, 81, 795

1. What is the GCD of 255, 207, 90, 324?

GCD of 255, 207, 90, 324 is 3

2. Where do I get the detailed procedure to find GCD of 255, 207, 90, 324?

You can find a detailed procedure to find GCD of 255, 207, 90, 324 on our page.

3. How to find GCD of 255, 207, 90, 324 on a calculator?

You can find the GCD of 255, 207, 90, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.