GCD of 324, 294, 215, 882 Calculator

Given Input numbers are 324, 294, 215, 882

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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

Greatest Common Divisior

We found the divisors of 324, 294, 215, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 294, 215, 882 is 1.

Therefore, GCD of numbers 324, 294, 215, 882 is 1

Given Input Data is 324, 294, 215, 882

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 215 is 5 x 43

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

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(324, 294) = 15876

GCD(324, 294) = ( 324 x 294 ) / 15876

GCD(324, 294) = 95256 / 15876

GCD(324, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 215

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

LCM(6, 215) = 1290

GCD(6, 215) = ( 6 x 215 ) / 1290

GCD(6, 215) = 1290 / 1290

GCD(6, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 324, 294, 215, 882 is 1

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1. What is the GCD of 324, 294, 215, 882?

GCD of 324, 294, 215, 882 is 1

2. Where do I get the detailed procedure to find GCD of 324, 294, 215, 882?

You can find a detailed procedure to find GCD of 324, 294, 215, 882 on our page.

3. How to find GCD of 324, 294, 215, 882 on a calculator?

You can find the GCD of 324, 294, 215, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.