GCD of 576, 728, 822, 222 Calculator

Given Input numbers are 576, 728, 822, 222

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 576, 728, 822, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 728, 822, 222 is 2.

Therefore, GCD of numbers 576, 728, 822, 222 is 2

Given Input Data is 576, 728, 822, 222

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 222 is 2 x 3 x 37

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(576, 728) = 52416

GCD(576, 728) = ( 576 x 728 ) / 52416

GCD(576, 728) = 419328 / 52416

GCD(576, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 822

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

LCM(8, 822) = 3288

GCD(8, 822) = ( 8 x 822 ) / 3288

GCD(8, 822) = 6576 / 3288

GCD(8, 822) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 222

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

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

GCD(2, 222) = 444 / 222

GCD(2, 222) = 2

GCD of 576, 728, 822, 222 is 2

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1. What is the GCD of 576, 728, 822, 222?

GCD of 576, 728, 822, 222 is 2

2. Where do I get the detailed procedure to find GCD of 576, 728, 822, 222?

You can find a detailed procedure to find GCD of 576, 728, 822, 222 on our page.

3. How to find GCD of 576, 728, 822, 222 on a calculator?

You can find the GCD of 576, 728, 822, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.