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, 527, 302, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 527, 302, 501 is 1
GCD(729, 527, 302, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 527, 302, 501 is 1
GCD(729, 527, 302, 501) = 1
Given Input numbers are 729, 527, 302, 501
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 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 729, 527, 302, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 527, 302, 501 is 1.
Therefore, GCD of numbers 729, 527, 302, 501 is 1
Given Input Data is 729, 527, 302, 501
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 527 is 17 x 31
Prime Factorization of 302 is 2 x 151
Prime Factorization of 501 is 3 x 167
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, 527) = 384183
GCD(729, 527) = ( 729 x 527 ) / 384183
GCD(729, 527) = 384183 / 384183
GCD(729, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 729, 527, 302, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 527, 302, 501?
GCD of 729, 527, 302, 501 is 1
2. Where do I get the detailed procedure to find GCD of 729, 527, 302, 501?
You can find a detailed procedure to find GCD of 729, 527, 302, 501 on our page.
3. How to find GCD of 729, 527, 302, 501 on a calculator?
You can find the GCD of 729, 527, 302, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.