GCD of 396, 814, 556, 424 Calculator

Given Input numbers are 396, 814, 556, 424

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 396, 814, 556, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 814, 556, 424 is 2.

Therefore, GCD of numbers 396, 814, 556, 424 is 2

Given Input Data is 396, 814, 556, 424

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(396, 814) = 14652

GCD(396, 814) = ( 396 x 814 ) / 14652

GCD(396, 814) = 322344 / 14652

GCD(396, 814) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 556

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

LCM(22, 556) = 6116

GCD(22, 556) = ( 22 x 556 ) / 6116

GCD(22, 556) = 12232 / 6116

GCD(22, 556) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 396, 814, 556, 424 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 509, 210, 732
• GCD of 799, 518, 450, 108
• GCD of 546, 782, 702, 859
• GCD of 627, 679, 980, 839
• GCD of 477, 707, 208, 671

1. What is the GCD of 396, 814, 556, 424?

GCD of 396, 814, 556, 424 is 2

2. Where do I get the detailed procedure to find GCD of 396, 814, 556, 424?

You can find a detailed procedure to find GCD of 396, 814, 556, 424 on our page.

3. How to find GCD of 396, 814, 556, 424 on a calculator?

You can find the GCD of 396, 814, 556, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.