GCD of 393, 279, 248, 448 Calculator

Given Input numbers are 393, 279, 248, 448

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 393, 279, 248, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 279, 248, 448 is 1.

Therefore, GCD of numbers 393, 279, 248, 448 is 1

Given Input Data is 393, 279, 248, 448

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(393, 279) = 36549

GCD(393, 279) = ( 393 x 279 ) / 36549

GCD(393, 279) = 109647 / 36549

GCD(393, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 248

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

LCM(3, 248) = 744

GCD(3, 248) = ( 3 x 248 ) / 744

GCD(3, 248) = 744 / 744

GCD(3, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 393, 279, 248, 448 is 1

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1. What is the GCD of 393, 279, 248, 448?

GCD of 393, 279, 248, 448 is 1

2. Where do I get the detailed procedure to find GCD of 393, 279, 248, 448?

You can find a detailed procedure to find GCD of 393, 279, 248, 448 on our page.

3. How to find GCD of 393, 279, 248, 448 on a calculator?

You can find the GCD of 393, 279, 248, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.