GCD of 218, 850, 568 Calculator

Given Input numbers are 218, 850, 568

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 568

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

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

Greatest Common Divisior

We found the divisors of 218, 850, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 850, 568 is 2.

Therefore, GCD of numbers 218, 850, 568 is 2

Given Input Data is 218, 850, 568

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

Prime Factorization of 218 is 2 x 109

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

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

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(218, 850) = 92650

GCD(218, 850) = ( 218 x 850 ) / 92650

GCD(218, 850) = 185300 / 92650

GCD(218, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 218, 850, 568 is 2

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1. What is the GCD of 218, 850, 568?

GCD of 218, 850, 568 is 2

2. Where do I get the detailed procedure to find GCD of 218, 850, 568?

You can find a detailed procedure to find GCD of 218, 850, 568 on our page.

3. How to find GCD of 218, 850, 568 on a calculator?

You can find the GCD of 218, 850, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.