GCD of 818, 312, 36, 566 Calculator

Given Input numbers are 818, 312, 36, 566

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

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 818, 312, 36, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 312, 36, 566 is 2.

Therefore, GCD of numbers 818, 312, 36, 566 is 2

Given Input Data is 818, 312, 36, 566

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

Prime Factorization of 818 is 2 x 409

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 566 is 2 x 283

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(818, 312) = 127608

GCD(818, 312) = ( 818 x 312 ) / 127608

GCD(818, 312) = 255216 / 127608

GCD(818, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 818, 312, 36, 566 is 2

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1. What is the GCD of 818, 312, 36, 566?

GCD of 818, 312, 36, 566 is 2

2. Where do I get the detailed procedure to find GCD of 818, 312, 36, 566?

You can find a detailed procedure to find GCD of 818, 312, 36, 566 on our page.

3. How to find GCD of 818, 312, 36, 566 on a calculator?

You can find the GCD of 818, 312, 36, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.