GCD of 822, 412, 56, 432 Calculator

Given Input numbers are 822, 412, 56, 432

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 822, 412, 56, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 412, 56, 432 is 2.

Therefore, GCD of numbers 822, 412, 56, 432 is 2

Given Input Data is 822, 412, 56, 432

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 412 is 2 x 2 x 103

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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, 412) = 169332

GCD(822, 412) = ( 822 x 412 ) / 169332

GCD(822, 412) = 338664 / 169332

GCD(822, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 822, 412, 56, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 723, 53, 399
• GCD of 303, 277, 79, 539
• GCD of 718, 140, 25, 384
• GCD of 437, 942, 63, 284
• GCD of 669, 537, 32, 605

1. What is the GCD of 822, 412, 56, 432?

GCD of 822, 412, 56, 432 is 2

2. Where do I get the detailed procedure to find GCD of 822, 412, 56, 432?

You can find a detailed procedure to find GCD of 822, 412, 56, 432 on our page.

3. How to find GCD of 822, 412, 56, 432 on a calculator?

You can find the GCD of 822, 412, 56, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.