GCD of 648, 318, 184, 423 Calculator

Given Input numbers are 648, 318, 184, 423

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 184

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

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 648, 318, 184, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 318, 184, 423 is 1.

Therefore, GCD of numbers 648, 318, 184, 423 is 1

Given Input Data is 648, 318, 184, 423

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 318 is 2 x 3 x 53

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

Prime Factorization of 423 is 3 x 3 x 47

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(648, 318) = 34344

GCD(648, 318) = ( 648 x 318 ) / 34344

GCD(648, 318) = 206064 / 34344

GCD(648, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 184

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

LCM(6, 184) = 552

GCD(6, 184) = ( 6 x 184 ) / 552

GCD(6, 184) = 1104 / 552

GCD(6, 184) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 648, 318, 184, 423 is 1

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1. What is the GCD of 648, 318, 184, 423?

GCD of 648, 318, 184, 423 is 1

2. Where do I get the detailed procedure to find GCD of 648, 318, 184, 423?

You can find a detailed procedure to find GCD of 648, 318, 184, 423 on our page.

3. How to find GCD of 648, 318, 184, 423 on a calculator?

You can find the GCD of 648, 318, 184, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.