GCD of 990, 327, 229, 105 Calculator

Given Input numbers are 990, 327, 229, 105

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 990, 327, 229, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 327, 229, 105 is 1.

Therefore, GCD of numbers 990, 327, 229, 105 is 1

Given Input Data is 990, 327, 229, 105

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 327 is 3 x 109

Prime Factorization of 229 is 229

Prime Factorization of 105 is 3 x 5 x 7

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(990, 327) = 107910

GCD(990, 327) = ( 990 x 327 ) / 107910

GCD(990, 327) = 323730 / 107910

GCD(990, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 229

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

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

GCD(3, 229) = 687 / 687

GCD(3, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 990, 327, 229, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 489, 180, 689
• GCD of 161, 288, 373, 209
• GCD of 886, 434, 286, 608
• GCD of 943, 581, 765, 903
• GCD of 379, 292, 328, 359

1. What is the GCD of 990, 327, 229, 105?

GCD of 990, 327, 229, 105 is 1

2. Where do I get the detailed procedure to find GCD of 990, 327, 229, 105?

You can find a detailed procedure to find GCD of 990, 327, 229, 105 on our page.

3. How to find GCD of 990, 327, 229, 105 on a calculator?

You can find the GCD of 990, 327, 229, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.