GCD of 227, 369, 96, 363 Calculator

Given Input numbers are 227, 369, 96, 363

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 227, 369, 96, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 369, 96, 363 is 1.

Therefore, GCD of numbers 227, 369, 96, 363 is 1

Given Input Data is 227, 369, 96, 363

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

Prime Factorization of 227 is 227

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 363 is 3 x 11 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(227, 369) = 83763

GCD(227, 369) = ( 227 x 369 ) / 83763

GCD(227, 369) = 83763 / 83763

GCD(227, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 227, 369, 96, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 135, 30, 745
• GCD of 983, 905, 67, 457
• GCD of 215, 881, 96, 361
• GCD of 454, 253, 53, 407
• GCD of 612, 832, 57, 512

1. What is the GCD of 227, 369, 96, 363?

GCD of 227, 369, 96, 363 is 1

2. Where do I get the detailed procedure to find GCD of 227, 369, 96, 363?

You can find a detailed procedure to find GCD of 227, 369, 96, 363 on our page.

3. How to find GCD of 227, 369, 96, 363 on a calculator?

You can find the GCD of 227, 369, 96, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.