GCD of 242, 394, 50, 842 Calculator

Given Input numbers are 242, 394, 50, 842

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 242, 394, 50, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 394, 50, 842 is 2.

Therefore, GCD of numbers 242, 394, 50, 842 is 2

Given Input Data is 242, 394, 50, 842

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 394 is 2 x 197

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 842 is 2 x 421

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, 394) = 47674

GCD(242, 394) = ( 242 x 394 ) / 47674

GCD(242, 394) = 95348 / 47674

GCD(242, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 242, 394, 50, 842 is 2

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• GCD of 977, 908, 63, 555

1. What is the GCD of 242, 394, 50, 842?

GCD of 242, 394, 50, 842 is 2

2. Where do I get the detailed procedure to find GCD of 242, 394, 50, 842?

You can find a detailed procedure to find GCD of 242, 394, 50, 842 on our page.

3. How to find GCD of 242, 394, 50, 842 on a calculator?

You can find the GCD of 242, 394, 50, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.