GCD of 648, 903, 452, 349 Calculator

Given Input numbers are 648, 903, 452, 349

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 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 648, 903, 452, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 903, 452, 349 is 1.

Therefore, GCD of numbers 648, 903, 452, 349 is 1

Given Input Data is 648, 903, 452, 349

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 903 is 3 x 7 x 43

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 349 is 349

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, 903) = 195048

GCD(648, 903) = ( 648 x 903 ) / 195048

GCD(648, 903) = 585144 / 195048

GCD(648, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 452

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

LCM(3, 452) = 1356

GCD(3, 452) = ( 3 x 452 ) / 1356

GCD(3, 452) = 1356 / 1356

GCD(3, 452) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 648, 903, 452, 349 is 1

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1. What is the GCD of 648, 903, 452, 349?

GCD of 648, 903, 452, 349 is 1

2. Where do I get the detailed procedure to find GCD of 648, 903, 452, 349?

You can find a detailed procedure to find GCD of 648, 903, 452, 349 on our page.

3. How to find GCD of 648, 903, 452, 349 on a calculator?

You can find the GCD of 648, 903, 452, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.