GCD of 255, 794, 308, 747 Calculator

Given Input numbers are 255, 794, 308, 747

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 255, 794, 308, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 794, 308, 747 is 1.

Therefore, GCD of numbers 255, 794, 308, 747 is 1

Given Input Data is 255, 794, 308, 747

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 794 is 2 x 397

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 747 is 3 x 3 x 83

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, 794) = 202470

GCD(255, 794) = ( 255 x 794 ) / 202470

GCD(255, 794) = 202470 / 202470

GCD(255, 794) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 255, 794, 308, 747 is 1

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1. What is the GCD of 255, 794, 308, 747?

GCD of 255, 794, 308, 747 is 1

2. Where do I get the detailed procedure to find GCD of 255, 794, 308, 747?

You can find a detailed procedure to find GCD of 255, 794, 308, 747 on our page.

3. How to find GCD of 255, 794, 308, 747 on a calculator?

You can find the GCD of 255, 794, 308, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.