GCD of 232, 344, 489, 338 Calculator

Given Input numbers are 232, 344, 489, 338

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

Divisors of 232

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

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

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 232, 344, 489, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 344, 489, 338 is 1.

Therefore, GCD of numbers 232, 344, 489, 338 is 1

Given Input Data is 232, 344, 489, 338

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

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

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

Prime Factorization of 489 is 3 x 163

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(232, 344) = 9976

GCD(232, 344) = ( 232 x 344 ) / 9976

GCD(232, 344) = 79808 / 9976

GCD(232, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 489

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

LCM(8, 489) = 3912

GCD(8, 489) = ( 8 x 489 ) / 3912

GCD(8, 489) = 3912 / 3912

GCD(8, 489) = 1

Step3:

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 232, 344, 489, 338 is 1

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1. What is the GCD of 232, 344, 489, 338?

GCD of 232, 344, 489, 338 is 1

2. Where do I get the detailed procedure to find GCD of 232, 344, 489, 338?

You can find a detailed procedure to find GCD of 232, 344, 489, 338 on our page.

3. How to find GCD of 232, 344, 489, 338 on a calculator?

You can find the GCD of 232, 344, 489, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.