GCD of 280, 296, 984, 559 Calculator

Given Input numbers are 280, 296, 984, 559

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 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 280, 296, 984, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 296, 984, 559 is 1.

Therefore, GCD of numbers 280, 296, 984, 559 is 1

Given Input Data is 280, 296, 984, 559

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

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(280, 296) = 10360

GCD(280, 296) = ( 280 x 296 ) / 10360

GCD(280, 296) = 82880 / 10360

GCD(280, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 984

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

LCM(8, 984) = 984

GCD(8, 984) = ( 8 x 984 ) / 984

GCD(8, 984) = 7872 / 984

GCD(8, 984) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 559

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

LCM(8, 559) = 4472

GCD(8, 559) = ( 8 x 559 ) / 4472

GCD(8, 559) = 4472 / 4472

GCD(8, 559) = 1

GCD of 280, 296, 984, 559 is 1

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1. What is the GCD of 280, 296, 984, 559?

GCD of 280, 296, 984, 559 is 1

2. Where do I get the detailed procedure to find GCD of 280, 296, 984, 559?

You can find a detailed procedure to find GCD of 280, 296, 984, 559 on our page.

3. How to find GCD of 280, 296, 984, 559 on a calculator?

You can find the GCD of 280, 296, 984, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.