GCD of 255, 824, 305 Calculator

Given Input numbers are 255, 824, 305

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 255, 824, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 824, 305 is 1.

Therefore, GCD of numbers 255, 824, 305 is 1

Given Input Data is 255, 824, 305

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 305 is 5 x 61

The above numbers do not have any common prime factor. So GCD is 1

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, 824) = 210120

GCD(255, 824) = ( 255 x 824 ) / 210120

GCD(255, 824) = 210120 / 210120

GCD(255, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 255, 824, 305 is 1

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• GCD of 572, 948, 972
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1. What is the GCD of 255, 824, 305?

GCD of 255, 824, 305 is 1

2. Where do I get the detailed procedure to find GCD of 255, 824, 305?

You can find a detailed procedure to find GCD of 255, 824, 305 on our page.

3. How to find GCD of 255, 824, 305 on a calculator?

You can find the GCD of 255, 824, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.