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 729, 979, 21, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 979, 21, 379 is 1
GCD(729, 979, 21, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 979, 21, 379 is 1
GCD(729, 979, 21, 379) = 1
Given Input numbers are 729, 979, 21, 379
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 729, 979, 21, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 979, 21, 379 is 1.
Therefore, GCD of numbers 729, 979, 21, 379 is 1
Given Input Data is 729, 979, 21, 379
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 979 is 11 x 89
Prime Factorization of 21 is 3 x 7
Prime Factorization of 379 is 379
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(729, 979) = 713691
GCD(729, 979) = ( 729 x 979 ) / 713691
GCD(729, 979) = 713691 / 713691
GCD(729, 979) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 729, 979, 21, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 979, 21, 379?
GCD of 729, 979, 21, 379 is 1
2. Where do I get the detailed procedure to find GCD of 729, 979, 21, 379?
You can find a detailed procedure to find GCD of 729, 979, 21, 379 on our page.
3. How to find GCD of 729, 979, 21, 379 on a calculator?
You can find the GCD of 729, 979, 21, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.