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 423, 602, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 602, 21 is 1
GCD(423, 602, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 602, 21 is 1
GCD(423, 602, 21) = 1
Given Input numbers are 423, 602, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
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 423, 602, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 602, 21 is 1.
Therefore, GCD of numbers 423, 602, 21 is 1
Given Input Data is 423, 602, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 602 is 2 x 7 x 43
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(423, 602) = 254646
GCD(423, 602) = ( 423 x 602 ) / 254646
GCD(423, 602) = 254646 / 254646
GCD(423, 602) = 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 423, 602, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 602, 21?
GCD of 423, 602, 21 is 1
2. Where do I get the detailed procedure to find GCD of 423, 602, 21?
You can find a detailed procedure to find GCD of 423, 602, 21 on our page.
3. How to find GCD of 423, 602, 21 on a calculator?
You can find the GCD of 423, 602, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.