GCD of 310, 916, 799 Calculator

Given Input numbers are 310, 916, 799

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 310, 916, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 916, 799 is 1.

Therefore, GCD of numbers 310, 916, 799 is 1

Given Input Data is 310, 916, 799

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 916 is 2 x 2 x 229

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(310, 916) = 141980

GCD(310, 916) = ( 310 x 916 ) / 141980

GCD(310, 916) = 283960 / 141980

GCD(310, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 799

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

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

GCD of 310, 916, 799 is 1

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1. What is the GCD of 310, 916, 799?

GCD of 310, 916, 799 is 1

2. Where do I get the detailed procedure to find GCD of 310, 916, 799?

You can find a detailed procedure to find GCD of 310, 916, 799 on our page.

3. How to find GCD of 310, 916, 799 on a calculator?

You can find the GCD of 310, 916, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.