GCD of 562, 112, 18, 656 Calculator

Given Input numbers are 562, 112, 18, 656

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 562, 112, 18, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 112, 18, 656 is 2.

Therefore, GCD of numbers 562, 112, 18, 656 is 2

Given Input Data is 562, 112, 18, 656

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

Prime Factorization of 562 is 2 x 281

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(562, 112) = 31472

GCD(562, 112) = ( 562 x 112 ) / 31472

GCD(562, 112) = 62944 / 31472

GCD(562, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

GCD of 562, 112, 18, 656 is 2

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1. What is the GCD of 562, 112, 18, 656?

GCD of 562, 112, 18, 656 is 2

2. Where do I get the detailed procedure to find GCD of 562, 112, 18, 656?

You can find a detailed procedure to find GCD of 562, 112, 18, 656 on our page.

3. How to find GCD of 562, 112, 18, 656 on a calculator?

You can find the GCD of 562, 112, 18, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.