GCD of 898, 432, 822 Calculator

Given Input numbers are 898, 432, 822

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 898, 432, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 432, 822 is 2.

Therefore, GCD of numbers 898, 432, 822 is 2

Given Input Data is 898, 432, 822

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

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 822 is 2 x 3 x 137

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(898, 432) = 193968

GCD(898, 432) = ( 898 x 432 ) / 193968

GCD(898, 432) = 387936 / 193968

GCD(898, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 898, 432, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 612, 373
• GCD of 395, 164, 311
• GCD of 328, 204, 259
• GCD of 109, 376, 485
• GCD of 476, 809, 748

1. What is the GCD of 898, 432, 822?

GCD of 898, 432, 822 is 2

2. Where do I get the detailed procedure to find GCD of 898, 432, 822?

You can find a detailed procedure to find GCD of 898, 432, 822 on our page.

3. How to find GCD of 898, 432, 822 on a calculator?

You can find the GCD of 898, 432, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.