GCD of 234, 582, 381 Calculator

Given Input numbers are 234, 582, 381

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 234, 582, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 582, 381 is 3.

Therefore, GCD of numbers 234, 582, 381 is 3

Given Input Data is 234, 582, 381

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 582 is 2 x 3 x 97

Prime Factorization of 381 is 3 x 127

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 582) = 22698

GCD(234, 582) = ( 234 x 582 ) / 22698

GCD(234, 582) = 136188 / 22698

GCD(234, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 381

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

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

GCD(6, 381) = 2286 / 762

GCD(6, 381) = 3

GCD of 234, 582, 381 is 3

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1. What is the GCD of 234, 582, 381?

GCD of 234, 582, 381 is 3

2. Where do I get the detailed procedure to find GCD of 234, 582, 381?

You can find a detailed procedure to find GCD of 234, 582, 381 on our page.

3. How to find GCD of 234, 582, 381 on a calculator?

You can find the GCD of 234, 582, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.