GCD of 294, 927, 20, 459 Calculator

Given Input numbers are 294, 927, 20, 459

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 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 294, 927, 20, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 927, 20, 459 is 1.

Therefore, GCD of numbers 294, 927, 20, 459 is 1

Given Input Data is 294, 927, 20, 459

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 927 is 3 x 3 x 103

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 927) = 90846

GCD(294, 927) = ( 294 x 927 ) / 90846

GCD(294, 927) = 272538 / 90846

GCD(294, 927) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 294, 927, 20, 459 is 1

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1. What is the GCD of 294, 927, 20, 459?

GCD of 294, 927, 20, 459 is 1

2. Where do I get the detailed procedure to find GCD of 294, 927, 20, 459?

You can find a detailed procedure to find GCD of 294, 927, 20, 459 on our page.

3. How to find GCD of 294, 927, 20, 459 on a calculator?

You can find the GCD of 294, 927, 20, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.