GCD of 990, 203, 966, 125 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 990, 203, 966, 125 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 203, 966, 125 is 1

GCD(990, 203, 966, 125) = 1

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

GCD of

GCD of numbers 990, 203, 966, 125 is 1

GCD(990, 203, 966, 125) = 1

GCD of 990,203,966,125 Calculator

GCDof 990,203,966,125 is 1

Given Input numbers are 990, 203, 966, 125

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 990, 203, 966, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 203, 966, 125 is 1.

Therefore, GCD of numbers 990, 203, 966, 125 is 1

Finding GCD of 990, 203, 966, 125 using Prime Factorization

Given Input Data is 990, 203, 966, 125

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 203 is 7 x 29

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 125 is 5 x 5 x 5

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

Finding GCD of 990, 203, 966, 125 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(990, 203) = 200970

GCD(990, 203) = ( 990 x 203 ) / 200970

GCD(990, 203) = 200970 / 200970

GCD(990, 203) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 990, 203, 966, 125 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 990, 203, 966, 125

1. What is the GCD of 990, 203, 966, 125?

GCD of 990, 203, 966, 125 is 1


2. Where do I get the detailed procedure to find GCD of 990, 203, 966, 125?

You can find a detailed procedure to find GCD of 990, 203, 966, 125 on our page.


3. How to find GCD of 990, 203, 966, 125 on a calculator?

You can find the GCD of 990, 203, 966, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.