GCD of 819, 728, 871 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 819, 728, 871 quickly. Get the easiest ways to solve the greatest common divisor of 819, 728, 871 i.e 13 in different methods as follows.
Given Input numbers are 819, 728, 871
In the factoring method, we have to find the divisors of all numbers
Divisors of 819 :
The positive integer divisors of 819 that completely divides 819 are.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (819, 728, 871) = 13.
Given numbers are 819, 728, 871
The list of prime factors of all numbers are
Prime factors of 819 are 3 x 3 x 7 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 871 are 13 x 67
The highest common occurrence is 131
Therefore, GCD of 819, 728, 871 is 13.
Steps to Calculate GCD of 819, 728, 871 using LCM Formula
Given numbers are 819, 728, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(819, 728) = 6552
GCD(819, 728) = ( 819 x 728 ) / 6552
= 819 / 728
= 819
Step2:
LCM(91, 871) = 6097
GCD(91, 871) = ( 91 x 871 ) / 6097
= 91 / 871
= 91
So, Greatest Common Divisor of 819, 728, 871 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 819, 728, 871
Given numbers are 819, 728, 871
The greatest common divisor of numbers 819, 728, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 728, 871 is 13.
FAQs on GCD of 819, 728, 871 Calculator
1. What is the GCD of 819, 728, 871?
GCD of given numbers 819, 728, 871 is 13
2. How to calculate the greatest common divisor of 819, 728, 871?
We can find the highest common divisor of 819, 728, 871 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 819, 728, 871 i.e 13.
3. How can I use the GCD of 819, 728, 871Calculator?
Out the numbers 819, 728, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.