GCD of 278, 242, 842 Calculator

Given Input numbers are 278, 242, 842

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 242

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

1, 2, 11, 22, 121, 242

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 278, 242, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 242, 842 is 2.

Therefore, GCD of numbers 278, 242, 842 is 2

Given Input Data is 278, 242, 842

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 242 is 2 x 11 x 11

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(278, 242) = 33638

GCD(278, 242) = ( 278 x 242 ) / 33638

GCD(278, 242) = 67276 / 33638

GCD(278, 242) = 2

Step2:

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 278, 242, 842 is 2

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1. What is the GCD of 278, 242, 842?

GCD of 278, 242, 842 is 2

2. Where do I get the detailed procedure to find GCD of 278, 242, 842?

You can find a detailed procedure to find GCD of 278, 242, 842 on our page.

3. How to find GCD of 278, 242, 842 on a calculator?

You can find the GCD of 278, 242, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.