GCD of 648, 609, 49, 227 Calculator

Given Input numbers are 648, 609, 49, 227

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 648, 609, 49, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 609, 49, 227 is 1.

Therefore, GCD of numbers 648, 609, 49, 227 is 1

Given Input Data is 648, 609, 49, 227

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 609 is 3 x 7 x 29

Prime Factorization of 49 is 7 x 7

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(648, 609) = 131544

GCD(648, 609) = ( 648 x 609 ) / 131544

GCD(648, 609) = 394632 / 131544

GCD(648, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 648, 609, 49, 227 is 1

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1. What is the GCD of 648, 609, 49, 227?

GCD of 648, 609, 49, 227 is 1

2. Where do I get the detailed procedure to find GCD of 648, 609, 49, 227?

You can find a detailed procedure to find GCD of 648, 609, 49, 227 on our page.

3. How to find GCD of 648, 609, 49, 227 on a calculator?

You can find the GCD of 648, 609, 49, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.