GCD of 398, 239, 731, 768 Calculator

Given Input numbers are 398, 239, 731, 768

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 398, 239, 731, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 239, 731, 768 is 1.

Therefore, GCD of numbers 398, 239, 731, 768 is 1

Given Input Data is 398, 239, 731, 768

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 239 is 239

Prime Factorization of 731 is 17 x 43

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(398, 239) = 95122

GCD(398, 239) = ( 398 x 239 ) / 95122

GCD(398, 239) = 95122 / 95122

GCD(398, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 398, 239, 731, 768 is 1

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1. What is the GCD of 398, 239, 731, 768?

GCD of 398, 239, 731, 768 is 1

2. Where do I get the detailed procedure to find GCD of 398, 239, 731, 768?

You can find a detailed procedure to find GCD of 398, 239, 731, 768 on our page.

3. How to find GCD of 398, 239, 731, 768 on a calculator?

You can find the GCD of 398, 239, 731, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.