GCD of 993, 243, 369, 905 Calculator

Given Input numbers are 993, 243, 369, 905

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 993, 243, 369, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 243, 369, 905 is 1.

Therefore, GCD of numbers 993, 243, 369, 905 is 1

Given Input Data is 993, 243, 369, 905

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 905 is 5 x 181

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(993, 243) = 80433

GCD(993, 243) = ( 993 x 243 ) / 80433

GCD(993, 243) = 241299 / 80433

GCD(993, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 369

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

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

GCD(3, 369) = 1107 / 369

GCD(3, 369) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 993, 243, 369, 905 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 998, 231, 471
• GCD of 335, 438, 704, 607
• GCD of 842, 718, 333, 400
• GCD of 139, 482, 608, 313
• GCD of 763, 569, 621, 497

1. What is the GCD of 993, 243, 369, 905?

GCD of 993, 243, 369, 905 is 1

2. Where do I get the detailed procedure to find GCD of 993, 243, 369, 905?

You can find a detailed procedure to find GCD of 993, 243, 369, 905 on our page.

3. How to find GCD of 993, 243, 369, 905 on a calculator?

You can find the GCD of 993, 243, 369, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.