GCD of 136, 398, 242, 232 Calculator

Given Input numbers are 136, 398, 242, 232

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 136, 398, 242, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 398, 242, 232 is 2.

Therefore, GCD of numbers 136, 398, 242, 232 is 2

Given Input Data is 136, 398, 242, 232

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 398 is 2 x 199

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(136, 398) = 27064

GCD(136, 398) = ( 136 x 398 ) / 27064

GCD(136, 398) = 54128 / 27064

GCD(136, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 136, 398, 242, 232 is 2

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1. What is the GCD of 136, 398, 242, 232?

GCD of 136, 398, 242, 232 is 2

2. Where do I get the detailed procedure to find GCD of 136, 398, 242, 232?

You can find a detailed procedure to find GCD of 136, 398, 242, 232 on our page.

3. How to find GCD of 136, 398, 242, 232 on a calculator?

You can find the GCD of 136, 398, 242, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.