GCD of 556, 982, 496 Calculator

Given Input numbers are 556, 982, 496

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 982

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

1, 2, 491, 982

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 556, 982, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 982, 496 is 2.

Therefore, GCD of numbers 556, 982, 496 is 2

Given Input Data is 556, 982, 496

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 982 is 2 x 491

Prime Factorization of 496 is 2 x 2 x 2 x 2 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(556, 982) = 272996

GCD(556, 982) = ( 556 x 982 ) / 272996

GCD(556, 982) = 545992 / 272996

GCD(556, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 556, 982, 496 is 2

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1. What is the GCD of 556, 982, 496?

GCD of 556, 982, 496 is 2

2. Where do I get the detailed procedure to find GCD of 556, 982, 496?

You can find a detailed procedure to find GCD of 556, 982, 496 on our page.

3. How to find GCD of 556, 982, 496 on a calculator?

You can find the GCD of 556, 982, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.