GCD of 824, 800, 484 Calculator

Given Input numbers are 824, 800, 484

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

Greatest Common Divisior

We found the divisors of 824, 800, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 800, 484 is 4.

Therefore, GCD of numbers 824, 800, 484 is 4

Given Input Data is 824, 800, 484

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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(824, 800) = 82400

GCD(824, 800) = ( 824 x 800 ) / 82400

GCD(824, 800) = 659200 / 82400

GCD(824, 800) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 484

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

LCM(8, 484) = 968

GCD(8, 484) = ( 8 x 484 ) / 968

GCD(8, 484) = 3872 / 968

GCD(8, 484) = 4

GCD of 824, 800, 484 is 4

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• GCD of 576, 422, 381
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1. What is the GCD of 824, 800, 484?

GCD of 824, 800, 484 is 4

2. Where do I get the detailed procedure to find GCD of 824, 800, 484?

You can find a detailed procedure to find GCD of 824, 800, 484 on our page.

3. How to find GCD of 824, 800, 484 on a calculator?

You can find the GCD of 824, 800, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.