GCD of 982, 784, 24, 558 Calculator

Given Input numbers are 982, 784, 24, 558

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 982, 784, 24, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 784, 24, 558 is 2.

Therefore, GCD of numbers 982, 784, 24, 558 is 2

Given Input Data is 982, 784, 24, 558

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 558 is 2 x 3 x 3 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(982, 784) = 384944

GCD(982, 784) = ( 982 x 784 ) / 384944

GCD(982, 784) = 769888 / 384944

GCD(982, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 982, 784, 24, 558 is 2

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1. What is the GCD of 982, 784, 24, 558?

GCD of 982, 784, 24, 558 is 2

2. Where do I get the detailed procedure to find GCD of 982, 784, 24, 558?

You can find a detailed procedure to find GCD of 982, 784, 24, 558 on our page.

3. How to find GCD of 982, 784, 24, 558 on a calculator?

You can find the GCD of 982, 784, 24, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.