GCD of 568, 850, 656, 108 Calculator

Given Input numbers are 568, 850, 656, 108

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

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 568, 850, 656, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 850, 656, 108 is 2.

Therefore, GCD of numbers 568, 850, 656, 108 is 2

Given Input Data is 568, 850, 656, 108

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

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 850 is 2 x 5 x 5 x 17

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(568, 850) = 241400

GCD(568, 850) = ( 568 x 850 ) / 241400

GCD(568, 850) = 482800 / 241400

GCD(568, 850) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 568, 850, 656, 108 is 2

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1. What is the GCD of 568, 850, 656, 108?

GCD of 568, 850, 656, 108 is 2

2. Where do I get the detailed procedure to find GCD of 568, 850, 656, 108?

You can find a detailed procedure to find GCD of 568, 850, 656, 108 on our page.

3. How to find GCD of 568, 850, 656, 108 on a calculator?

You can find the GCD of 568, 850, 656, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.