GCD of 882, 225, 27, 579 Calculator

Given Input numbers are 882, 225, 27, 579

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 882, 225, 27, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 225, 27, 579 is 3.

Therefore, GCD of numbers 882, 225, 27, 579 is 3

Given Input Data is 882, 225, 27, 579

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 579 is 3 x 193

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(882, 225) = 22050

GCD(882, 225) = ( 882 x 225 ) / 22050

GCD(882, 225) = 198450 / 22050

GCD(882, 225) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 27

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

LCM(9, 27) = 27

GCD(9, 27) = ( 9 x 27 ) / 27

GCD(9, 27) = 243 / 27

GCD(9, 27) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 579

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

LCM(9, 579) = 1737

GCD(9, 579) = ( 9 x 579 ) / 1737

GCD(9, 579) = 5211 / 1737

GCD(9, 579) = 3

GCD of 882, 225, 27, 579 is 3

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• GCD of 254, 210, 30, 403
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1. What is the GCD of 882, 225, 27, 579?

GCD of 882, 225, 27, 579 is 3

2. Where do I get the detailed procedure to find GCD of 882, 225, 27, 579?

You can find a detailed procedure to find GCD of 882, 225, 27, 579 on our page.

3. How to find GCD of 882, 225, 27, 579 on a calculator?

You can find the GCD of 882, 225, 27, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.