GCD of 255, 330, 537, 435 Calculator

Given Input numbers are 255, 330, 537, 435

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 255, 330, 537, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 330, 537, 435 is 3.

Therefore, GCD of numbers 255, 330, 537, 435 is 3

Given Input Data is 255, 330, 537, 435

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 537 is 3 x 179

Prime Factorization of 435 is 3 x 5 x 29

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, 330) = 5610

GCD(255, 330) = ( 255 x 330 ) / 5610

GCD(255, 330) = 84150 / 5610

GCD(255, 330) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 537

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

LCM(15, 537) = 2685

GCD(15, 537) = ( 15 x 537 ) / 2685

GCD(15, 537) = 8055 / 2685

GCD(15, 537) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

GCD of 255, 330, 537, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 115, 323, 991
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• GCD of 889, 902, 290, 143

1. What is the GCD of 255, 330, 537, 435?

GCD of 255, 330, 537, 435 is 3

2. Where do I get the detailed procedure to find GCD of 255, 330, 537, 435?

You can find a detailed procedure to find GCD of 255, 330, 537, 435 on our page.

3. How to find GCD of 255, 330, 537, 435 on a calculator?

You can find the GCD of 255, 330, 537, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.