GCD of 432, 882, 34, 227 Calculator

Given Input numbers are 432, 882, 34, 227

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

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 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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 432, 882, 34, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 882, 34, 227 is 1.

Therefore, GCD of numbers 432, 882, 34, 227 is 1

Given Input Data is 432, 882, 34, 227

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

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

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 227 is 227

The above numbers do not have any common prime factor. So GCD is 1

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(432, 882) = 21168

GCD(432, 882) = ( 432 x 882 ) / 21168

GCD(432, 882) = 381024 / 21168

GCD(432, 882) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 34

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

LCM(18, 34) = 306

GCD(18, 34) = ( 18 x 34 ) / 306

GCD(18, 34) = 612 / 306

GCD(18, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

GCD of 432, 882, 34, 227 is 1

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1. What is the GCD of 432, 882, 34, 227?

GCD of 432, 882, 34, 227 is 1

2. Where do I get the detailed procedure to find GCD of 432, 882, 34, 227?

You can find a detailed procedure to find GCD of 432, 882, 34, 227 on our page.

3. How to find GCD of 432, 882, 34, 227 on a calculator?

You can find the GCD of 432, 882, 34, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.