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, 422, 531, 869 i.e. 1 largest integer that divides all the numbers equally.
GCD of 728, 422, 531, 869 is 1
GCD(728, 422, 531, 869) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 422, 531, 869 is 1
GCD(728, 422, 531, 869) = 1
Given Input numbers are 728, 422, 531, 869
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Greatest Common Divisior
We found the divisors of 728, 422, 531, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 422, 531, 869 is 1.
Therefore, GCD of numbers 728, 422, 531, 869 is 1
Given Input Data is 728, 422, 531, 869
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 422 is 2 x 211
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 869 is 11 x 79
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, 422) = 153608
GCD(728, 422) = ( 728 x 422 ) / 153608
GCD(728, 422) = 307216 / 153608
GCD(728, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 531) = 1062
GCD(2, 531) = ( 2 x 531 ) / 1062
GCD(2, 531) = 1062 / 1062
GCD(2, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
GCD of 728, 422, 531, 869 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 422, 531, 869?
GCD of 728, 422, 531, 869 is 1
2. Where do I get the detailed procedure to find GCD of 728, 422, 531, 869?
You can find a detailed procedure to find GCD of 728, 422, 531, 869 on our page.
3. How to find GCD of 728, 422, 531, 869 on a calculator?
You can find the GCD of 728, 422, 531, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.