GCD of 214, 800, 612, 816 Calculator

Given Input numbers are 214, 800, 612, 816

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

Divisors of 214

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

1, 2, 107, 214

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 214, 800, 612, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 800, 612, 816 is 2.

Therefore, GCD of numbers 214, 800, 612, 816 is 2

Given Input Data is 214, 800, 612, 816

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(214, 800) = 85600

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

GCD(214, 800) = 171200 / 85600

GCD(214, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 816

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

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

GCD(2, 816) = 1632 / 816

GCD(2, 816) = 2

GCD of 214, 800, 612, 816 is 2

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1. What is the GCD of 214, 800, 612, 816?

GCD of 214, 800, 612, 816 is 2

2. Where do I get the detailed procedure to find GCD of 214, 800, 612, 816?

You can find a detailed procedure to find GCD of 214, 800, 612, 816 on our page.

3. How to find GCD of 214, 800, 612, 816 on a calculator?

You can find the GCD of 214, 800, 612, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.