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, 198, 851, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 198, 851, 881 is 1
GCD(729, 198, 851, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 198, 851, 881 is 1
GCD(729, 198, 851, 881) = 1
Given Input numbers are 729, 198, 851, 881
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 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 729, 198, 851, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 198, 851, 881 is 1.
Therefore, GCD of numbers 729, 198, 851, 881 is 1
Given Input Data is 729, 198, 851, 881
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 198 is 2 x 3 x 3 x 11
Prime Factorization of 851 is 23 x 37
Prime Factorization of 881 is 881
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, 198) = 16038
GCD(729, 198) = ( 729 x 198 ) / 16038
GCD(729, 198) = 144342 / 16038
GCD(729, 198) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 851) = 7659
GCD(9, 851) = ( 9 x 851 ) / 7659
GCD(9, 851) = 7659 / 7659
GCD(9, 851) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
GCD of 729, 198, 851, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 198, 851, 881?
GCD of 729, 198, 851, 881 is 1
2. Where do I get the detailed procedure to find GCD of 729, 198, 851, 881?
You can find a detailed procedure to find GCD of 729, 198, 851, 881 on our page.
3. How to find GCD of 729, 198, 851, 881 on a calculator?
You can find the GCD of 729, 198, 851, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.