GCD of 234, 174, 12, 206 Calculator

Given Input numbers are 234, 174, 12, 206

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 234, 174, 12, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 174, 12, 206 is 2.

Therefore, GCD of numbers 234, 174, 12, 206 is 2

Given Input Data is 234, 174, 12, 206

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 174 is 2 x 3 x 29

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 206 is 2 x 103

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(234, 174) = 6786

GCD(234, 174) = ( 234 x 174 ) / 6786

GCD(234, 174) = 40716 / 6786

GCD(234, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 12

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

LCM(6, 12) = 12

GCD(6, 12) = ( 6 x 12 ) / 12

GCD(6, 12) = 72 / 12

GCD(6, 12) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 206

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

LCM(6, 206) = 618

GCD(6, 206) = ( 6 x 206 ) / 618

GCD(6, 206) = 1236 / 618

GCD(6, 206) = 2

GCD of 234, 174, 12, 206 is 2

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1. What is the GCD of 234, 174, 12, 206?

GCD of 234, 174, 12, 206 is 2

2. Where do I get the detailed procedure to find GCD of 234, 174, 12, 206?

You can find a detailed procedure to find GCD of 234, 174, 12, 206 on our page.

3. How to find GCD of 234, 174, 12, 206 on a calculator?

You can find the GCD of 234, 174, 12, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.