GCD of 213, 145, 990 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 213, 145, 990 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 145, 990 is 1

GCD(213, 145, 990) = 1

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

GCD of

GCD of numbers 213, 145, 990 is 1

GCD(213, 145, 990) = 1

GCD of 213,145,990 Calculator

GCDof 213,145,990 is 1

Given Input numbers are 213, 145, 990

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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

Greatest Common Divisior

We found the divisors of 213, 145, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 145, 990 is 1.

Therefore, GCD of numbers 213, 145, 990 is 1

Finding GCD of 213, 145, 990 using Prime Factorization

Given Input Data is 213, 145, 990

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 145 is 5 x 29

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

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

Finding GCD of 213, 145, 990 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(213, 145) = 30885

GCD(213, 145) = ( 213 x 145 ) / 30885

GCD(213, 145) = 30885 / 30885

GCD(213, 145) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 213, 145, 990 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 213, 145, 990

1. What is the GCD of 213, 145, 990?

GCD of 213, 145, 990 is 1


2. Where do I get the detailed procedure to find GCD of 213, 145, 990?

You can find a detailed procedure to find GCD of 213, 145, 990 on our page.


3. How to find GCD of 213, 145, 990 on a calculator?

You can find the GCD of 213, 145, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.