GCD of 238, 344, 436, 111 Calculator

Given Input numbers are 238, 344, 436, 111

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 238, 344, 436, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 344, 436, 111 is 1.

Therefore, GCD of numbers 238, 344, 436, 111 is 1

Given Input Data is 238, 344, 436, 111

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 111 is 3 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(238, 344) = 40936

GCD(238, 344) = ( 238 x 344 ) / 40936

GCD(238, 344) = 81872 / 40936

GCD(238, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

GCD of 238, 344, 436, 111 is 1

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1. What is the GCD of 238, 344, 436, 111?

GCD of 238, 344, 436, 111 is 1

2. Where do I get the detailed procedure to find GCD of 238, 344, 436, 111?

You can find a detailed procedure to find GCD of 238, 344, 436, 111 on our page.

3. How to find GCD of 238, 344, 436, 111 on a calculator?

You can find the GCD of 238, 344, 436, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.