GCD of 234, 311, 338 Calculator

Given Input numbers are 234, 311, 338

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 234, 311, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 311, 338 is 1.

Therefore, GCD of numbers 234, 311, 338 is 1

Given Input Data is 234, 311, 338

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 311 is 311

Prime Factorization of 338 is 2 x 13 x 13

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(234, 311) = 72774

GCD(234, 311) = ( 234 x 311 ) / 72774

GCD(234, 311) = 72774 / 72774

GCD(234, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 234, 311, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 259, 121
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• GCD of 419, 990, 655
• GCD of 819, 876, 440

1. What is the GCD of 234, 311, 338?

GCD of 234, 311, 338 is 1

2. Where do I get the detailed procedure to find GCD of 234, 311, 338?

You can find a detailed procedure to find GCD of 234, 311, 338 on our page.

3. How to find GCD of 234, 311, 338 on a calculator?

You can find the GCD of 234, 311, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.