GCD of 266, 206, 26, 822 Calculator

Given Input numbers are 266, 206, 26, 822

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 266, 206, 26, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 206, 26, 822 is 2.

Therefore, GCD of numbers 266, 206, 26, 822 is 2

Given Input Data is 266, 206, 26, 822

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 206 is 2 x 103

Prime Factorization of 26 is 2 x 13

Prime Factorization of 822 is 2 x 3 x 137

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(266, 206) = 27398

GCD(266, 206) = ( 266 x 206 ) / 27398

GCD(266, 206) = 54796 / 27398

GCD(266, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 266, 206, 26, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 477, 71, 820
• GCD of 426, 805, 48, 758
• GCD of 873, 605, 82, 309
• GCD of 415, 959, 65, 249
• GCD of 381, 515, 80, 457

1. What is the GCD of 266, 206, 26, 822?

GCD of 266, 206, 26, 822 is 2

2. Where do I get the detailed procedure to find GCD of 266, 206, 26, 822?

You can find a detailed procedure to find GCD of 266, 206, 26, 822 on our page.

3. How to find GCD of 266, 206, 26, 822 on a calculator?

You can find the GCD of 266, 206, 26, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.