GCD of 112, 578, 48, 558 Calculator

Given Input numbers are 112, 578, 48, 558

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 112, 578, 48, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 578, 48, 558 is 2.

Therefore, GCD of numbers 112, 578, 48, 558 is 2

Given Input Data is 112, 578, 48, 558

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 48 is 2 x 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(112, 578) = 32368

GCD(112, 578) = ( 112 x 578 ) / 32368

GCD(112, 578) = 64736 / 32368

GCD(112, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 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 112, 578, 48, 558 is 2

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1. What is the GCD of 112, 578, 48, 558?

GCD of 112, 578, 48, 558 is 2

2. Where do I get the detailed procedure to find GCD of 112, 578, 48, 558?

You can find a detailed procedure to find GCD of 112, 578, 48, 558 on our page.

3. How to find GCD of 112, 578, 48, 558 on a calculator?

You can find the GCD of 112, 578, 48, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.