GCD of 311, 589, 928, 984 Calculator

Given Input numbers are 311, 589, 928, 984

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

Divisors of 311

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

1, 311

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 311, 589, 928, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 589, 928, 984 is 1.

Therefore, GCD of numbers 311, 589, 928, 984 is 1

Given Input Data is 311, 589, 928, 984

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

Prime Factorization of 311 is 311

Prime Factorization of 589 is 19 x 31

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(311, 589) = 183179

GCD(311, 589) = ( 311 x 589 ) / 183179

GCD(311, 589) = 183179 / 183179

GCD(311, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 311, 589, 928, 984 is 1

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1. What is the GCD of 311, 589, 928, 984?

GCD of 311, 589, 928, 984 is 1

2. Where do I get the detailed procedure to find GCD of 311, 589, 928, 984?

You can find a detailed procedure to find GCD of 311, 589, 928, 984 on our page.

3. How to find GCD of 311, 589, 928, 984 on a calculator?

You can find the GCD of 311, 589, 928, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.