GCD of 608, 104, 800, 393 Calculator

Given Input numbers are 608, 104, 800, 393

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 608, 104, 800, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 104, 800, 393 is 1.

Therefore, GCD of numbers 608, 104, 800, 393 is 1

Given Input Data is 608, 104, 800, 393

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 393 is 3 x 131

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(608, 104) = 7904

GCD(608, 104) = ( 608 x 104 ) / 7904

GCD(608, 104) = 63232 / 7904

GCD(608, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 800

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

LCM(8, 800) = 800

GCD(8, 800) = ( 8 x 800 ) / 800

GCD(8, 800) = 6400 / 800

GCD(8, 800) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 393

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

LCM(8, 393) = 3144

GCD(8, 393) = ( 8 x 393 ) / 3144

GCD(8, 393) = 3144 / 3144

GCD(8, 393) = 1

GCD of 608, 104, 800, 393 is 1

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1. What is the GCD of 608, 104, 800, 393?

GCD of 608, 104, 800, 393 is 1

2. Where do I get the detailed procedure to find GCD of 608, 104, 800, 393?

You can find a detailed procedure to find GCD of 608, 104, 800, 393 on our page.

3. How to find GCD of 608, 104, 800, 393 on a calculator?

You can find the GCD of 608, 104, 800, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.