GCD of 242, 806, 308, 212 Calculator

Given Input numbers are 242, 806, 308, 212

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 242, 806, 308, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 806, 308, 212 is 2.

Therefore, GCD of numbers 242, 806, 308, 212 is 2

Given Input Data is 242, 806, 308, 212

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 212 is 2 x 2 x 53

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(242, 806) = 97526

GCD(242, 806) = ( 242 x 806 ) / 97526

GCD(242, 806) = 195052 / 97526

GCD(242, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 242, 806, 308, 212 is 2

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1. What is the GCD of 242, 806, 308, 212?

GCD of 242, 806, 308, 212 is 2

2. Where do I get the detailed procedure to find GCD of 242, 806, 308, 212?

You can find a detailed procedure to find GCD of 242, 806, 308, 212 on our page.

3. How to find GCD of 242, 806, 308, 212 on a calculator?

You can find the GCD of 242, 806, 308, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.