GCD of 99, 90, 21 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 99, 90, 21 i.e. 3 largest integer that divides all the numbers equally.

GCD of 99, 90, 21 is 3

GCD(99, 90, 21) = 3

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

GCD of

Finding GCD of 99, 90, 21 using Factoring

Given Input numbers are 99, 90, 21

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 99, 90, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 90, 21 is 3.

Therefore, GCD of numbers 99, 90, 21 is 3

Finding GCD of 99, 90, 21 using Prime Factorization

Given Input Data is 99, 90, 21

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 21 is 3 x 7

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 99, 90, 21 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(99, 90) = 990

GCD(99, 90) = ( 99 x 90 ) / 990

GCD(99, 90) = 8910 / 990

GCD(99, 90) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 21

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

LCM(9, 21) = 63

GCD(9, 21) = ( 9 x 21 ) / 63

GCD(9, 21) = 189 / 63

GCD(9, 21) = 3

GCD of 99, 90, 21 is 3

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FAQs on GCD of numbers 99, 90, 21

1. What is the GCD of 99, 90, 21?

GCD of 99, 90, 21 is 3


2. Where do I get the detailed procedure to find GCD of 99, 90, 21?

You can find a detailed procedure to find GCD of 99, 90, 21 on our page.


3. How to find GCD of 99, 90, 21 on a calculator?

You can find the GCD of 99, 90, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.


GCD of 99,90,21 Calculator