GCD of 283, 768, 82, 789 Calculator

Given Input numbers are 283, 768, 82, 789

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 283, 768, 82, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 768, 82, 789 is 1.

Therefore, GCD of numbers 283, 768, 82, 789 is 1

Given Input Data is 283, 768, 82, 789

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

Prime Factorization of 283 is 283

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 82 is 2 x 41

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(283, 768) = 217344

GCD(283, 768) = ( 283 x 768 ) / 217344

GCD(283, 768) = 217344 / 217344

GCD(283, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 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 283, 768, 82, 789 is 1

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1. What is the GCD of 283, 768, 82, 789?

GCD of 283, 768, 82, 789 is 1

2. Where do I get the detailed procedure to find GCD of 283, 768, 82, 789?

You can find a detailed procedure to find GCD of 283, 768, 82, 789 on our page.

3. How to find GCD of 283, 768, 82, 789 on a calculator?

You can find the GCD of 283, 768, 82, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.