GCD of 81, 890, 105, 384 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 81, 890, 105, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 81, 890, 105, 384 is 1

GCD(81, 890, 105, 384) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 81, 890, 105, 384 is 1

GCD(81, 890, 105, 384) = 1

GCD of 81,890,105,384 Calculator

GCDof 81,890,105,384 is 1

Given Input numbers are 81, 890, 105, 384

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 105

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

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 81, 890, 105, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 890, 105, 384 is 1.

Therefore, GCD of numbers 81, 890, 105, 384 is 1

Finding GCD of 81, 890, 105, 384 using Prime Factorization

Given Input Data is 81, 890, 105, 384

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 81, 890, 105, 384 using LCM Formula

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(81, 890) = 72090

GCD(81, 890) = ( 81 x 890 ) / 72090

GCD(81, 890) = 72090 / 72090

GCD(81, 890) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 81, 890, 105, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 81, 890, 105, 384

1. What is the GCD of 81, 890, 105, 384?

GCD of 81, 890, 105, 384 is 1


2. Where do I get the detailed procedure to find GCD of 81, 890, 105, 384?

You can find a detailed procedure to find GCD of 81, 890, 105, 384 on our page.


3. How to find GCD of 81, 890, 105, 384 on a calculator?

You can find the GCD of 81, 890, 105, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.