GCD of 234, 105, 168, 393 Calculator

Given Input numbers are 234, 105, 168, 393

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 234, 105, 168, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 105, 168, 393 is 3.

Therefore, GCD of numbers 234, 105, 168, 393 is 3

Given Input Data is 234, 105, 168, 393

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 105 is 3 x 5 x 7

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 393 is 3 x 131

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, 105) = 8190

GCD(234, 105) = ( 234 x 105 ) / 8190

GCD(234, 105) = 24570 / 8190

GCD(234, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 168

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

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

GCD(3, 168) = 504 / 168

GCD(3, 168) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 393

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

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

GCD(3, 393) = 1179 / 393

GCD(3, 393) = 3

GCD of 234, 105, 168, 393 is 3

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1. What is the GCD of 234, 105, 168, 393?

GCD of 234, 105, 168, 393 is 3

2. Where do I get the detailed procedure to find GCD of 234, 105, 168, 393?

You can find a detailed procedure to find GCD of 234, 105, 168, 393 on our page.

3. How to find GCD of 234, 105, 168, 393 on a calculator?

You can find the GCD of 234, 105, 168, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.