GCD of 23, 111, 330, 385 Calculator

Given Input numbers are 23, 111, 330, 385

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 23, 111, 330, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 111, 330, 385 is 1.

Therefore, GCD of numbers 23, 111, 330, 385 is 1

Given Input Data is 23, 111, 330, 385

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

Prime Factorization of 23 is 23

Prime Factorization of 111 is 3 x 37

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 385 is 5 x 7 x 11

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(23, 111) = 2553

GCD(23, 111) = ( 23 x 111 ) / 2553

GCD(23, 111) = 2553 / 2553

GCD(23, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 23, 111, 330, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 153, 927, 441
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• GCD of 59, 142, 760, 768
• GCD of 31, 520, 765, 572
• GCD of 30, 803, 630, 191

1. What is the GCD of 23, 111, 330, 385?

GCD of 23, 111, 330, 385 is 1

2. Where do I get the detailed procedure to find GCD of 23, 111, 330, 385?

You can find a detailed procedure to find GCD of 23, 111, 330, 385 on our page.

3. How to find GCD of 23, 111, 330, 385 on a calculator?

You can find the GCD of 23, 111, 330, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.