GCD of 233, 984, 31, 559 Calculator

Given Input numbers are 233, 984, 31, 559

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 233, 984, 31, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 984, 31, 559 is 1.

Therefore, GCD of numbers 233, 984, 31, 559 is 1

Given Input Data is 233, 984, 31, 559

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

Prime Factorization of 233 is 233

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

Prime Factorization of 31 is 31

Prime Factorization of 559 is 13 x 43

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(233, 984) = 229272

GCD(233, 984) = ( 233 x 984 ) / 229272

GCD(233, 984) = 229272 / 229272

GCD(233, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 233, 984, 31, 559 is 1

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• GCD of 729, 873, 61, 657
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1. What is the GCD of 233, 984, 31, 559?

GCD of 233, 984, 31, 559 is 1

2. Where do I get the detailed procedure to find GCD of 233, 984, 31, 559?

You can find a detailed procedure to find GCD of 233, 984, 31, 559 on our page.

3. How to find GCD of 233, 984, 31, 559 on a calculator?

You can find the GCD of 233, 984, 31, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.