GCD of 558, 652, 668, 844 Calculator

Given Input numbers are 558, 652, 668, 844

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

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 558, 652, 668, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 652, 668, 844 is 2.

Therefore, GCD of numbers 558, 652, 668, 844 is 2

Given Input Data is 558, 652, 668, 844

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

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 844 is 2 x 2 x 211

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(558, 652) = 181908

GCD(558, 652) = ( 558 x 652 ) / 181908

GCD(558, 652) = 363816 / 181908

GCD(558, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

GCD of 558, 652, 668, 844 is 2

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1. What is the GCD of 558, 652, 668, 844?

GCD of 558, 652, 668, 844 is 2

2. Where do I get the detailed procedure to find GCD of 558, 652, 668, 844?

You can find a detailed procedure to find GCD of 558, 652, 668, 844 on our page.

3. How to find GCD of 558, 652, 668, 844 on a calculator?

You can find the GCD of 558, 652, 668, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.