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, 434, 852, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 434, 852, 954 is 1
GCD(729, 434, 852, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 434, 852, 954 is 1
GCD(729, 434, 852, 954) = 1
Given Input numbers are 729, 434, 852, 954
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 729, 434, 852, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 434, 852, 954 is 1.
Therefore, GCD of numbers 729, 434, 852, 954 is 1
Given Input Data is 729, 434, 852, 954
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 434 is 2 x 7 x 31
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 954 is 2 x 3 x 3 x 53
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, 434) = 316386
GCD(729, 434) = ( 729 x 434 ) / 316386
GCD(729, 434) = 316386 / 316386
GCD(729, 434) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 729, 434, 852, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 434, 852, 954?
GCD of 729, 434, 852, 954 is 1
2. Where do I get the detailed procedure to find GCD of 729, 434, 852, 954?
You can find a detailed procedure to find GCD of 729, 434, 852, 954 on our page.
3. How to find GCD of 729, 434, 852, 954 on a calculator?
You can find the GCD of 729, 434, 852, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.