GCD of 558, 688, 24, 348 Calculator

Given Input numbers are 558, 688, 24, 348

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 558, 688, 24, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 688, 24, 348 is 2.

Therefore, GCD of numbers 558, 688, 24, 348 is 2

Given Input Data is 558, 688, 24, 348

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 688 is 2 x 2 x 2 x 2 x 43

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 688) = 191952

GCD(558, 688) = ( 558 x 688 ) / 191952

GCD(558, 688) = 383904 / 191952

GCD(558, 688) = 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 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 558, 688, 24, 348 is 2

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1. What is the GCD of 558, 688, 24, 348?

GCD of 558, 688, 24, 348 is 2

2. Where do I get the detailed procedure to find GCD of 558, 688, 24, 348?

You can find a detailed procedure to find GCD of 558, 688, 24, 348 on our page.

3. How to find GCD of 558, 688, 24, 348 on a calculator?

You can find the GCD of 558, 688, 24, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.