GCD of 230, 382, 59, 334 Calculator

Given Input numbers are 230, 382, 59, 334

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 230, 382, 59, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 382, 59, 334 is 1.

Therefore, GCD of numbers 230, 382, 59, 334 is 1

Given Input Data is 230, 382, 59, 334

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 382 is 2 x 191

Prime Factorization of 59 is 59

Prime Factorization of 334 is 2 x 167

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(230, 382) = 43930

GCD(230, 382) = ( 230 x 382 ) / 43930

GCD(230, 382) = 87860 / 43930

GCD(230, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 230, 382, 59, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 619, 15, 381
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• GCD of 419, 373, 13, 773
• GCD of 330, 504, 40, 473
• GCD of 363, 674, 35, 241

1. What is the GCD of 230, 382, 59, 334?

GCD of 230, 382, 59, 334 is 1

2. Where do I get the detailed procedure to find GCD of 230, 382, 59, 334?

You can find a detailed procedure to find GCD of 230, 382, 59, 334 on our page.

3. How to find GCD of 230, 382, 59, 334 on a calculator?

You can find the GCD of 230, 382, 59, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.