GCD of 822, 768, 112, 872 Calculator

Given Input numbers are 822, 768, 112, 872

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 822, 768, 112, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 768, 112, 872 is 2.

Therefore, GCD of numbers 822, 768, 112, 872 is 2

Given Input Data is 822, 768, 112, 872

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

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, 768) = 105216

GCD(822, 768) = ( 822 x 768 ) / 105216

GCD(822, 768) = 631296 / 105216

GCD(822, 768) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 112

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

LCM(6, 112) = 336

GCD(6, 112) = ( 6 x 112 ) / 336

GCD(6, 112) = 672 / 336

GCD(6, 112) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 822, 768, 112, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 949, 515, 127
• GCD of 454, 232, 323, 381
• GCD of 204, 868, 413, 559
• GCD of 569, 715, 592, 279
• GCD of 175, 988, 280, 421

1. What is the GCD of 822, 768, 112, 872?

GCD of 822, 768, 112, 872 is 2

2. Where do I get the detailed procedure to find GCD of 822, 768, 112, 872?

You can find a detailed procedure to find GCD of 822, 768, 112, 872 on our page.

3. How to find GCD of 822, 768, 112, 872 on a calculator?

You can find the GCD of 822, 768, 112, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.