GCD of 198, 254, 26, 842 Calculator

Given Input numbers are 198, 254, 26, 842

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 26

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

1, 2, 13, 26

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 198, 254, 26, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 254, 26, 842 is 2.

Therefore, GCD of numbers 198, 254, 26, 842 is 2

Given Input Data is 198, 254, 26, 842

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 26 is 2 x 13

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(198, 254) = 25146

GCD(198, 254) = ( 198 x 254 ) / 25146

GCD(198, 254) = 50292 / 25146

GCD(198, 254) = 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 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 198, 254, 26, 842 is 2

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1. What is the GCD of 198, 254, 26, 842?

GCD of 198, 254, 26, 842 is 2

2. Where do I get the detailed procedure to find GCD of 198, 254, 26, 842?

You can find a detailed procedure to find GCD of 198, 254, 26, 842 on our page.

3. How to find GCD of 198, 254, 26, 842 on a calculator?

You can find the GCD of 198, 254, 26, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.