GCD of 123, 181, 14, 306 Calculator

Given Input numbers are 123, 181, 14, 306

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 123, 181, 14, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 181, 14, 306 is 1.

Therefore, GCD of numbers 123, 181, 14, 306 is 1

Given Input Data is 123, 181, 14, 306

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 181 is 181

Prime Factorization of 14 is 2 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(123, 181) = 22263

GCD(123, 181) = ( 123 x 181 ) / 22263

GCD(123, 181) = 22263 / 22263

GCD(123, 181) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 123, 181, 14, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 332, 45, 137
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• GCD of 847, 172, 62, 845
• GCD of 461, 741, 49, 464

1. What is the GCD of 123, 181, 14, 306?

GCD of 123, 181, 14, 306 is 1

2. Where do I get the detailed procedure to find GCD of 123, 181, 14, 306?

You can find a detailed procedure to find GCD of 123, 181, 14, 306 on our page.

3. How to find GCD of 123, 181, 14, 306 on a calculator?

You can find the GCD of 123, 181, 14, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.