GCD of 255, 696, 108 Calculator

Given Input numbers are 255, 696, 108

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

Greatest Common Divisior

We found the divisors of 255, 696, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 696, 108 is 3.

Therefore, GCD of numbers 255, 696, 108 is 3

Given Input Data is 255, 696, 108

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 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 108 is 2 x 2 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, 696) = 59160

GCD(255, 696) = ( 255 x 696 ) / 59160

GCD(255, 696) = 177480 / 59160

GCD(255, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 108

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

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

GCD(3, 108) = 324 / 108

GCD(3, 108) = 3

GCD of 255, 696, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 115, 507
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• GCD of 250, 894, 721
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1. What is the GCD of 255, 696, 108?

GCD of 255, 696, 108 is 3

2. Where do I get the detailed procedure to find GCD of 255, 696, 108?

You can find a detailed procedure to find GCD of 255, 696, 108 on our page.

3. How to find GCD of 255, 696, 108 on a calculator?

You can find the GCD of 255, 696, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.