GCD of 311, 116, 84, 799 Calculator

Given Input numbers are 311, 116, 84, 799

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 311, 116, 84, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 116, 84, 799 is 1.

Therefore, GCD of numbers 311, 116, 84, 799 is 1

Given Input Data is 311, 116, 84, 799

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

Prime Factorization of 311 is 311

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 799 is 17 x 47

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(311, 116) = 36076

GCD(311, 116) = ( 311 x 116 ) / 36076

GCD(311, 116) = 36076 / 36076

GCD(311, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 311, 116, 84, 799 is 1

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1. What is the GCD of 311, 116, 84, 799?

GCD of 311, 116, 84, 799 is 1

2. Where do I get the detailed procedure to find GCD of 311, 116, 84, 799?

You can find a detailed procedure to find GCD of 311, 116, 84, 799 on our page.

3. How to find GCD of 311, 116, 84, 799 on a calculator?

You can find the GCD of 311, 116, 84, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.