GCD of 484, 836, 828 Calculator

Given Input numbers are 484, 836, 828

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 484, 836, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 836, 828 is 4.

Therefore, GCD of numbers 484, 836, 828 is 4

Given Input Data is 484, 836, 828

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 836 is 2 x 2 x 11 x 19

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(484, 836) = 9196

GCD(484, 836) = ( 484 x 836 ) / 9196

GCD(484, 836) = 404624 / 9196

GCD(484, 836) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 828

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

LCM(44, 828) = 9108

GCD(44, 828) = ( 44 x 828 ) / 9108

GCD(44, 828) = 36432 / 9108

GCD(44, 828) = 4

GCD of 484, 836, 828 is 4

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1. What is the GCD of 484, 836, 828?

GCD of 484, 836, 828 is 4

2. Where do I get the detailed procedure to find GCD of 484, 836, 828?

You can find a detailed procedure to find GCD of 484, 836, 828 on our page.

3. How to find GCD of 484, 836, 828 on a calculator?

You can find the GCD of 484, 836, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.