GCD of 300, 682, 878, 816 Calculator

Given Input numbers are 300, 682, 878, 816

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 300, 682, 878, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 682, 878, 816 is 2.

Therefore, GCD of numbers 300, 682, 878, 816 is 2

Given Input Data is 300, 682, 878, 816

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 878 is 2 x 439

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(300, 682) = 102300

GCD(300, 682) = ( 300 x 682 ) / 102300

GCD(300, 682) = 204600 / 102300

GCD(300, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 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 300, 682, 878, 816 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 480, 729, 885, 355

1. What is the GCD of 300, 682, 878, 816?

GCD of 300, 682, 878, 816 is 2

2. Where do I get the detailed procedure to find GCD of 300, 682, 878, 816?

You can find a detailed procedure to find GCD of 300, 682, 878, 816 on our page.

3. How to find GCD of 300, 682, 878, 816 on a calculator?

You can find the GCD of 300, 682, 878, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.