GCD of 814, 394, 120, 516 Calculator

Given Input numbers are 814, 394, 120, 516

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

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 814, 394, 120, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 394, 120, 516 is 2.

Therefore, GCD of numbers 814, 394, 120, 516 is 2

Given Input Data is 814, 394, 120, 516

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 394 is 2 x 197

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(814, 394) = 160358

GCD(814, 394) = ( 814 x 394 ) / 160358

GCD(814, 394) = 320716 / 160358

GCD(814, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 814, 394, 120, 516 is 2

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1. What is the GCD of 814, 394, 120, 516?

GCD of 814, 394, 120, 516 is 2

2. Where do I get the detailed procedure to find GCD of 814, 394, 120, 516?

You can find a detailed procedure to find GCD of 814, 394, 120, 516 on our page.

3. How to find GCD of 814, 394, 120, 516 on a calculator?

You can find the GCD of 814, 394, 120, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.