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 9, 23, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 9, 23, 21 is 1
GCD(9, 23, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 9, 23, 21 is 1
GCD(9, 23, 21) = 1
Given Input numbers are 9, 23, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 9
List of positive integer divisors of 9 that divides 9 without a remainder.
1, 3, 9
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
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 9, 23, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 9, 23, 21 is 1.
Therefore, GCD of numbers 9, 23, 21 is 1
Given Input Data is 9, 23, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 9 is 3 x 3
Prime Factorization of 23 is 23
Prime Factorization of 21 is 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(9, 23) = 207
GCD(9, 23) = ( 9 x 23 ) / 207
GCD(9, 23) = 207 / 207
GCD(9, 23) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
GCD of 9, 23, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 9, 23, 21?
GCD of 9, 23, 21 is 1
2. Where do I get the detailed procedure to find GCD of 9, 23, 21?
You can find a detailed procedure to find GCD of 9, 23, 21 on our page.
3. How to find GCD of 9, 23, 21 on a calculator?
You can find the GCD of 9, 23, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.