GCD of 994, 814, 308 Calculator

Given Input numbers are 994, 814, 308

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 994, 814, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 814, 308 is 2.

Therefore, GCD of numbers 994, 814, 308 is 2

Given Input Data is 994, 814, 308

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(994, 814) = 404558

GCD(994, 814) = ( 994 x 814 ) / 404558

GCD(994, 814) = 809116 / 404558

GCD(994, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 994, 814, 308 is 2

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1. What is the GCD of 994, 814, 308?

GCD of 994, 814, 308 is 2

2. Where do I get the detailed procedure to find GCD of 994, 814, 308?

You can find a detailed procedure to find GCD of 994, 814, 308 on our page.

3. How to find GCD of 994, 814, 308 on a calculator?

You can find the GCD of 994, 814, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.