Online GCD Calculator is useful to find the GCD of 828, 789, 728, 389 quickly. Get the easiest ways to solve the greatest common divisor of 828, 789, 728, 389 i.e 1 in different methods as follows.
Given Input numbers are 828, 789, 728, 389
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
GCD of numbers is the greatest common divisor
So, the GCD (828, 789, 728, 389) = 1.
Given numbers are 828, 789, 728, 389
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 789 are 3 x 263
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 389 are 389
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 789, 728, 389
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 789) = 217764
GCD(828, 789) = ( 828 x 789 ) / 217764
= 828 / 789
= 828
Step2:
LCM(3, 728) = 2184
GCD(3, 728) = ( 3 x 728 ) / 2184
= 3 / 728
= 3
Step3:
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
= 1 / 389
= 1
So, Greatest Common Divisor of 828, 789, 728, 389 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 789, 728, 389
The greatest common divisor of numbers 828, 789, 728, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 789, 728, 389 is 1.
1. What is the GCD of 828, 789, 728, 389?
GCD of given numbers 828, 789, 728, 389 is 1
2. How to calculate the greatest common divisor of 828, 789, 728, 389?
We can find the highest common divisor of 828, 789, 728, 389 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 828, 789, 728, 389 i.e 1.
3. How can I use the GCD of 828, 789, 728, 389Calculator?
Out the numbers 828, 789, 728, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.