GCD of 800, 214, 828 Calculator

Given Input numbers are 800, 214, 828

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

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 800, 214, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 214, 828 is 2.

Therefore, GCD of numbers 800, 214, 828 is 2

Given Input Data is 800, 214, 828

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

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

Prime Factorization of 214 is 2 x 107

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(800, 214) = 85600

GCD(800, 214) = ( 800 x 214 ) / 85600

GCD(800, 214) = 171200 / 85600

GCD(800, 214) = 2

Step2:

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 800, 214, 828 is 2

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1. What is the GCD of 800, 214, 828?

GCD of 800, 214, 828 is 2

2. Where do I get the detailed procedure to find GCD of 800, 214, 828?

You can find a detailed procedure to find GCD of 800, 214, 828 on our page.

3. How to find GCD of 800, 214, 828 on a calculator?

You can find the GCD of 800, 214, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.