GCD of 566, 940, 20, 208 Calculator

Given Input numbers are 566, 940, 20, 208

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 566, 940, 20, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 940, 20, 208 is 2.

Therefore, GCD of numbers 566, 940, 20, 208 is 2

Given Input Data is 566, 940, 20, 208

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(566, 940) = 266020

GCD(566, 940) = ( 566 x 940 ) / 266020

GCD(566, 940) = 532040 / 266020

GCD(566, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 566, 940, 20, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 125, 19, 352
• GCD of 655, 731, 25, 154
• GCD of 864, 745, 87, 408
• GCD of 217, 185, 61, 292
• GCD of 370, 532, 51, 737

1. What is the GCD of 566, 940, 20, 208?

GCD of 566, 940, 20, 208 is 2

2. Where do I get the detailed procedure to find GCD of 566, 940, 20, 208?

You can find a detailed procedure to find GCD of 566, 940, 20, 208 on our page.

3. How to find GCD of 566, 940, 20, 208 on a calculator?

You can find the GCD of 566, 940, 20, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.