Online GCD Calculator is useful to find the GCD of 789, 814, 392 quickly. Get the easiest ways to solve the greatest common divisor of 789, 814, 392 i.e 1 in different methods as follows.
Given Input numbers are 789, 814, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (789, 814, 392) = 1.
Given numbers are 789, 814, 392
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 814 are 2 x 11 x 37
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 814, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 814) = 642246
GCD(789, 814) = ( 789 x 814 ) / 642246
= 789 / 814
= 789
Step2:
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
= 1 / 392
= 1
So, Greatest Common Divisor of 789, 814, 392 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 814, 392
The greatest common divisor of numbers 789, 814, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 814, 392 is 1.
1. What is the GCD of 789, 814, 392?
GCD of given numbers 789, 814, 392 is 1
2. How to calculate the greatest common divisor of 789, 814, 392?
We can find the highest common divisor of 789, 814, 392 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 789, 814, 392 i.e 1.
3. How can I use the GCD of 789, 814, 392Calculator?
Out the numbers 789, 814, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.