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, 331, 615, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 331, 615, 648 is 1
GCD(729, 331, 615, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 331, 615, 648 is 1
GCD(729, 331, 615, 648) = 1
Given Input numbers are 729, 331, 615, 648
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 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 729, 331, 615, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 331, 615, 648 is 1.
Therefore, GCD of numbers 729, 331, 615, 648 is 1
Given Input Data is 729, 331, 615, 648
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 331 is 331
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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, 331) = 241299
GCD(729, 331) = ( 729 x 331 ) / 241299
GCD(729, 331) = 241299 / 241299
GCD(729, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 729, 331, 615, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 331, 615, 648?
GCD of 729, 331, 615, 648 is 1
2. Where do I get the detailed procedure to find GCD of 729, 331, 615, 648?
You can find a detailed procedure to find GCD of 729, 331, 615, 648 on our page.
3. How to find GCD of 729, 331, 615, 648 on a calculator?
You can find the GCD of 729, 331, 615, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.