Online GCD Calculator is useful to find the GCD of 857, 728, 288, 789 quickly. Get the easiest ways to solve the greatest common divisor of 857, 728, 288, 789 i.e 1 in different methods as follows.
Given Input numbers are 857, 728, 288, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (857, 728, 288, 789) = 1.
Given numbers are 857, 728, 288, 789
The list of prime factors of all numbers are
Prime factors of 857 are 857
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 789 are 3 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 857, 728, 288, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(857, 728) = 623896
GCD(857, 728) = ( 857 x 728 ) / 623896
= 857 / 728
= 857
Step2:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
Step3:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
So, Greatest Common Divisor of 857, 728, 288, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 857, 728, 288, 789
The greatest common divisor of numbers 857, 728, 288, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 857, 728, 288, 789 is 1.
1. What is the GCD of 857, 728, 288, 789?
GCD of given numbers 857, 728, 288, 789 is 1
2. How to calculate the greatest common divisor of 857, 728, 288, 789?
We can find the highest common divisor of 857, 728, 288, 789 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 857, 728, 288, 789 i.e 1.
3. How can I use the GCD of 857, 728, 288, 789Calculator?
Out the numbers 857, 728, 288, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.