GCD of 111, 283, 72, 382 Calculator

Given Input numbers are 111, 283, 72, 382

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

Divisors of 111

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

1, 3, 37, 111

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 111, 283, 72, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 283, 72, 382 is 1.

Therefore, GCD of numbers 111, 283, 72, 382 is 1

Given Input Data is 111, 283, 72, 382

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 283 is 283

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 382 is 2 x 191

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(111, 283) = 31413

GCD(111, 283) = ( 111 x 283 ) / 31413

GCD(111, 283) = 31413 / 31413

GCD(111, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 111, 283, 72, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 600, 66, 839
• GCD of 750, 744, 76, 487
• GCD of 889, 389, 95, 163
• GCD of 909, 232, 43, 357
• GCD of 462, 692, 24, 528

1. What is the GCD of 111, 283, 72, 382?

GCD of 111, 283, 72, 382 is 1

2. Where do I get the detailed procedure to find GCD of 111, 283, 72, 382?

You can find a detailed procedure to find GCD of 111, 283, 72, 382 on our page.

3. How to find GCD of 111, 283, 72, 382 on a calculator?

You can find the GCD of 111, 283, 72, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.