GCD of 768, 908, 897, 809 Calculator

Given Input numbers are 768, 908, 897, 809

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 768, 908, 897, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 908, 897, 809 is 1.

Therefore, GCD of numbers 768, 908, 897, 809 is 1

Given Input Data is 768, 908, 897, 809

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 809 is 809

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(768, 908) = 174336

GCD(768, 908) = ( 768 x 908 ) / 174336

GCD(768, 908) = 697344 / 174336

GCD(768, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 897

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

LCM(4, 897) = 3588

GCD(4, 897) = ( 4 x 897 ) / 3588

GCD(4, 897) = 3588 / 3588

GCD(4, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 768, 908, 897, 809 is 1

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1. What is the GCD of 768, 908, 897, 809?

GCD of 768, 908, 897, 809 is 1

2. Where do I get the detailed procedure to find GCD of 768, 908, 897, 809?

You can find a detailed procedure to find GCD of 768, 908, 897, 809 on our page.

3. How to find GCD of 768, 908, 897, 809 on a calculator?

You can find the GCD of 768, 908, 897, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.