GCD of 99, 90, 21 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 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 numbers 99, 90, 21 is 3
GCD(99, 90, 21) = 3
GCDof 99,90,21 is 3
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
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.