GCD of 822, 344, 878, 226 Calculator

Given Input numbers are 822, 344, 878, 226

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 878

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

1, 2, 439, 878

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 822, 344, 878, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 344, 878, 226 is 2.

Therefore, GCD of numbers 822, 344, 878, 226 is 2

Given Input Data is 822, 344, 878, 226

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 878 is 2 x 439

Prime Factorization of 226 is 2 x 113

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(822, 344) = 141384

GCD(822, 344) = ( 822 x 344 ) / 141384

GCD(822, 344) = 282768 / 141384

GCD(822, 344) = 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 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 822, 344, 878, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 170, 537, 176
• GCD of 623, 894, 874, 113
• GCD of 530, 622, 908, 287
• GCD of 141, 973, 777, 478
• GCD of 553, 142, 102, 412

1. What is the GCD of 822, 344, 878, 226?

GCD of 822, 344, 878, 226 is 2

2. Where do I get the detailed procedure to find GCD of 822, 344, 878, 226?

You can find a detailed procedure to find GCD of 822, 344, 878, 226 on our page.

3. How to find GCD of 822, 344, 878, 226 on a calculator?

You can find the GCD of 822, 344, 878, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.