GCD of 768, 809, 39, 990 Calculator

Given Input numbers are 768, 809, 39, 990

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 809

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

1, 809

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 768, 809, 39, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 809, 39, 990 is 1.

Therefore, GCD of numbers 768, 809, 39, 990 is 1

Given Input Data is 768, 809, 39, 990

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 809 is 809

Prime Factorization of 39 is 3 x 13

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 809) = 621312

GCD(768, 809) = ( 768 x 809 ) / 621312

GCD(768, 809) = 621312 / 621312

GCD(768, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 768, 809, 39, 990 is 1

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1. What is the GCD of 768, 809, 39, 990?

GCD of 768, 809, 39, 990 is 1

2. Where do I get the detailed procedure to find GCD of 768, 809, 39, 990?

You can find a detailed procedure to find GCD of 768, 809, 39, 990 on our page.

3. How to find GCD of 768, 809, 39, 990 on a calculator?

You can find the GCD of 768, 809, 39, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.