GCD of 380, 342, 234 Calculator

Given Input numbers are 380, 342, 234

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Greatest Common Divisior

We found the divisors of 380, 342, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 342, 234 is 2.

Therefore, GCD of numbers 380, 342, 234 is 2

Given Input Data is 380, 342, 234

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(380, 342) = 3420

GCD(380, 342) = ( 380 x 342 ) / 3420

GCD(380, 342) = 129960 / 3420

GCD(380, 342) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 234

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

LCM(38, 234) = 4446

GCD(38, 234) = ( 38 x 234 ) / 4446

GCD(38, 234) = 8892 / 4446

GCD(38, 234) = 2

GCD of 380, 342, 234 is 2

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1. What is the GCD of 380, 342, 234?

GCD of 380, 342, 234 is 2

2. Where do I get the detailed procedure to find GCD of 380, 342, 234?

You can find a detailed procedure to find GCD of 380, 342, 234 on our page.

3. How to find GCD of 380, 342, 234 on a calculator?

You can find the GCD of 380, 342, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.