GCD of 294, 891, 17, 184 Calculator

Given Input numbers are 294, 891, 17, 184

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

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 294, 891, 17, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 891, 17, 184 is 1.

Therefore, GCD of numbers 294, 891, 17, 184 is 1

Given Input Data is 294, 891, 17, 184

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

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 17 is 17

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(294, 891) = 87318

GCD(294, 891) = ( 294 x 891 ) / 87318

GCD(294, 891) = 261954 / 87318

GCD(294, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 294, 891, 17, 184 is 1

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• GCD of 580, 443, 49, 578
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1. What is the GCD of 294, 891, 17, 184?

GCD of 294, 891, 17, 184 is 1

2. Where do I get the detailed procedure to find GCD of 294, 891, 17, 184?

You can find a detailed procedure to find GCD of 294, 891, 17, 184 on our page.

3. How to find GCD of 294, 891, 17, 184 on a calculator?

You can find the GCD of 294, 891, 17, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.