GCD of 928, 393, 311, 847 Calculator

Given Input numbers are 928, 393, 311, 847

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 393

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

1, 3, 131, 393

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 928, 393, 311, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 393, 311, 847 is 1.

Therefore, GCD of numbers 928, 393, 311, 847 is 1

Given Input Data is 928, 393, 311, 847

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 393 is 3 x 131

Prime Factorization of 311 is 311

Prime Factorization of 847 is 7 x 11 x 11

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(928, 393) = 364704

GCD(928, 393) = ( 928 x 393 ) / 364704

GCD(928, 393) = 364704 / 364704

GCD(928, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 928, 393, 311, 847 is 1

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1. What is the GCD of 928, 393, 311, 847?

GCD of 928, 393, 311, 847 is 1

2. Where do I get the detailed procedure to find GCD of 928, 393, 311, 847?

You can find a detailed procedure to find GCD of 928, 393, 311, 847 on our page.

3. How to find GCD of 928, 393, 311, 847 on a calculator?

You can find the GCD of 928, 393, 311, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.