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, 640, 66, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 640, 66, 511 is 1
GCD(729, 640, 66, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 640, 66, 511 is 1
GCD(729, 640, 66, 511) = 1
Given Input numbers are 729, 640, 66, 511
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 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 729, 640, 66, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 640, 66, 511 is 1.
Therefore, GCD of numbers 729, 640, 66, 511 is 1
Given Input Data is 729, 640, 66, 511
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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 511 is 7 x 73
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, 640) = 466560
GCD(729, 640) = ( 729 x 640 ) / 466560
GCD(729, 640) = 466560 / 466560
GCD(729, 640) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
GCD of 729, 640, 66, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 640, 66, 511?
GCD of 729, 640, 66, 511 is 1
2. Where do I get the detailed procedure to find GCD of 729, 640, 66, 511?
You can find a detailed procedure to find GCD of 729, 640, 66, 511 on our page.
3. How to find GCD of 729, 640, 66, 511 on a calculator?
You can find the GCD of 729, 640, 66, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.