GCD of 366, 184, 516 Calculator

Given Input numbers are 366, 184, 516

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

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 366, 184, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 184, 516 is 2.

Therefore, GCD of numbers 366, 184, 516 is 2

Given Input Data is 366, 184, 516

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(366, 184) = 33672

GCD(366, 184) = ( 366 x 184 ) / 33672

GCD(366, 184) = 67344 / 33672

GCD(366, 184) = 2

Step2:

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 366, 184, 516 is 2

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1. What is the GCD of 366, 184, 516?

GCD of 366, 184, 516 is 2

2. Where do I get the detailed procedure to find GCD of 366, 184, 516?

You can find a detailed procedure to find GCD of 366, 184, 516 on our page.

3. How to find GCD of 366, 184, 516 on a calculator?

You can find the GCD of 366, 184, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.