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 21, 797, 646, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 797, 646, 469 is 1
GCD(21, 797, 646, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 797, 646, 469 is 1
GCD(21, 797, 646, 469) = 1
Given Input numbers are 21, 797, 646, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 21, 797, 646, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 797, 646, 469 is 1.
Therefore, GCD of numbers 21, 797, 646, 469 is 1
Given Input Data is 21, 797, 646, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 797 is 797
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 469 is 7 x 67
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(21, 797) = 16737
GCD(21, 797) = ( 21 x 797 ) / 16737
GCD(21, 797) = 16737 / 16737
GCD(21, 797) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 21, 797, 646, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 797, 646, 469?
GCD of 21, 797, 646, 469 is 1
2. Where do I get the detailed procedure to find GCD of 21, 797, 646, 469?
You can find a detailed procedure to find GCD of 21, 797, 646, 469 on our page.
3. How to find GCD of 21, 797, 646, 469 on a calculator?
You can find the GCD of 21, 797, 646, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.