GCD of 890, 319, 99, 132 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 890, 319, 99, 132 i.e. 1 largest integer that divides all the numbers equally.

GCD of 890, 319, 99, 132 is 1

GCD(890, 319, 99, 132) = 1

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

GCD of

GCD of numbers 890, 319, 99, 132 is 1

GCD(890, 319, 99, 132) = 1

GCD of 890,319,99,132 Calculator

GCDof 890,319,99,132 is 1

Given Input numbers are 890, 319, 99, 132

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

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 890, 319, 99, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 319, 99, 132 is 1.

Therefore, GCD of numbers 890, 319, 99, 132 is 1

Finding GCD of 890, 319, 99, 132 using Prime Factorization

Given Input Data is 890, 319, 99, 132

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 319 is 11 x 29

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Finding GCD of 890, 319, 99, 132 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(890, 319) = 283910

GCD(890, 319) = ( 890 x 319 ) / 283910

GCD(890, 319) = 283910 / 283910

GCD(890, 319) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 890, 319, 99, 132 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 890, 319, 99, 132

1. What is the GCD of 890, 319, 99, 132?

GCD of 890, 319, 99, 132 is 1


2. Where do I get the detailed procedure to find GCD of 890, 319, 99, 132?

You can find a detailed procedure to find GCD of 890, 319, 99, 132 on our page.


3. How to find GCD of 890, 319, 99, 132 on a calculator?

You can find the GCD of 890, 319, 99, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.