GCD of 818, 496, 656, 828 Calculator

Given Input numbers are 818, 496, 656, 828

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 818, 496, 656, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 496, 656, 828 is 2.

Therefore, GCD of numbers 818, 496, 656, 828 is 2

Given Input Data is 818, 496, 656, 828

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

Prime Factorization of 818 is 2 x 409

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 496) = 202864

GCD(818, 496) = ( 818 x 496 ) / 202864

GCD(818, 496) = 405728 / 202864

GCD(818, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 818, 496, 656, 828 is 2

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1. What is the GCD of 818, 496, 656, 828?

GCD of 818, 496, 656, 828 is 2

2. Where do I get the detailed procedure to find GCD of 818, 496, 656, 828?

You can find a detailed procedure to find GCD of 818, 496, 656, 828 on our page.

3. How to find GCD of 818, 496, 656, 828 on a calculator?

You can find the GCD of 818, 496, 656, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.