GCD of 796, 366, 316 Calculator

Given Input numbers are 796, 366, 316

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 796, 366, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 366, 316 is 2.

Therefore, GCD of numbers 796, 366, 316 is 2

Given Input Data is 796, 366, 316

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 316 is 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(796, 366) = 145668

GCD(796, 366) = ( 796 x 366 ) / 145668

GCD(796, 366) = 291336 / 145668

GCD(796, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 796, 366, 316 is 2

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1. What is the GCD of 796, 366, 316?

GCD of 796, 366, 316 is 2

2. Where do I get the detailed procedure to find GCD of 796, 366, 316?

You can find a detailed procedure to find GCD of 796, 366, 316 on our page.

3. How to find GCD of 796, 366, 316 on a calculator?

You can find the GCD of 796, 366, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.