GCD of 616, 812, 318, 418 Calculator

Given Input numbers are 616, 812, 318, 418

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 616, 812, 318, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 812, 318, 418 is 2.

Therefore, GCD of numbers 616, 812, 318, 418 is 2

Given Input Data is 616, 812, 318, 418

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 418 is 2 x 11 x 19

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(616, 812) = 17864

GCD(616, 812) = ( 616 x 812 ) / 17864

GCD(616, 812) = 500192 / 17864

GCD(616, 812) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 318

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

LCM(28, 318) = 4452

GCD(28, 318) = ( 28 x 318 ) / 4452

GCD(28, 318) = 8904 / 4452

GCD(28, 318) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 616, 812, 318, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 181, 683, 415
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• GCD of 911, 127, 106, 463
• GCD of 299, 900, 698, 690

1. What is the GCD of 616, 812, 318, 418?

GCD of 616, 812, 318, 418 is 2

2. Where do I get the detailed procedure to find GCD of 616, 812, 318, 418?

You can find a detailed procedure to find GCD of 616, 812, 318, 418 on our page.

3. How to find GCD of 616, 812, 318, 418 on a calculator?

You can find the GCD of 616, 812, 318, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.