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 728, 156, 36, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 156, 36, 527 is 1
GCD(728, 156, 36, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 156, 36, 527 is 1
GCD(728, 156, 36, 527) = 1
Given Input numbers are 728, 156, 36, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 728, 156, 36, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 156, 36, 527 is 1.
Therefore, GCD of numbers 728, 156, 36, 527 is 1
Given Input Data is 728, 156, 36, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 527 is 17 x 31
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(728, 156) = 2184
GCD(728, 156) = ( 728 x 156 ) / 2184
GCD(728, 156) = 113568 / 2184
GCD(728, 156) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 36) = 468
GCD(52, 36) = ( 52 x 36 ) / 468
GCD(52, 36) = 1872 / 468
GCD(52, 36) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 527) = 2108
GCD(4, 527) = ( 4 x 527 ) / 2108
GCD(4, 527) = 2108 / 2108
GCD(4, 527) = 1
GCD of 728, 156, 36, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 156, 36, 527?
GCD of 728, 156, 36, 527 is 1
2. Where do I get the detailed procedure to find GCD of 728, 156, 36, 527?
You can find a detailed procedure to find GCD of 728, 156, 36, 527 on our page.
3. How to find GCD of 728, 156, 36, 527 on a calculator?
You can find the GCD of 728, 156, 36, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.