GCD of 648, 223, 37, 398 Calculator

Given Input numbers are 648, 223, 37, 398

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 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 648, 223, 37, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 223, 37, 398 is 1.

Therefore, GCD of numbers 648, 223, 37, 398 is 1

Given Input Data is 648, 223, 37, 398

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 223 is 223

Prime Factorization of 37 is 37

Prime Factorization of 398 is 2 x 199

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, 223) = 144504

GCD(648, 223) = ( 648 x 223 ) / 144504

GCD(648, 223) = 144504 / 144504

GCD(648, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 648, 223, 37, 398 is 1

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1. What is the GCD of 648, 223, 37, 398?

GCD of 648, 223, 37, 398 is 1

2. Where do I get the detailed procedure to find GCD of 648, 223, 37, 398?

You can find a detailed procedure to find GCD of 648, 223, 37, 398 on our page.

3. How to find GCD of 648, 223, 37, 398 on a calculator?

You can find the GCD of 648, 223, 37, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.