GCD of 816, 319, 64, 789 Calculator

Given Input numbers are 816, 319, 64, 789

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 816, 319, 64, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 319, 64, 789 is 1.

Therefore, GCD of numbers 816, 319, 64, 789 is 1

Given Input Data is 816, 319, 64, 789

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 319 is 11 x 29

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 789 is 3 x 263

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(816, 319) = 260304

GCD(816, 319) = ( 816 x 319 ) / 260304

GCD(816, 319) = 260304 / 260304

GCD(816, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 816, 319, 64, 789 is 1

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1. What is the GCD of 816, 319, 64, 789?

GCD of 816, 319, 64, 789 is 1

2. Where do I get the detailed procedure to find GCD of 816, 319, 64, 789?

You can find a detailed procedure to find GCD of 816, 319, 64, 789 on our page.

3. How to find GCD of 816, 319, 64, 789 on a calculator?

You can find the GCD of 816, 319, 64, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.