Online GCD Calculator is useful to find the GCD of 789, 189, 316, 309 quickly. Get the easiest ways to solve the greatest common divisor of 789, 189, 316, 309 i.e 1 in different methods as follows.
Given Input numbers are 789, 189, 316, 309
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (789, 189, 316, 309) = 1.
Given numbers are 789, 189, 316, 309
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 316 are 2 x 2 x 79
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 189, 316, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 189) = 49707
GCD(789, 189) = ( 789 x 189 ) / 49707
= 789 / 189
= 789
Step2:
LCM(3, 316) = 948
GCD(3, 316) = ( 3 x 316 ) / 948
= 3 / 316
= 3
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 789, 189, 316, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 189, 316, 309
The greatest common divisor of numbers 789, 189, 316, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 189, 316, 309 is 1.
1. What is the GCD of 789, 189, 316, 309?
GCD of given numbers 789, 189, 316, 309 is 1
2. How to calculate the greatest common divisor of 789, 189, 316, 309?
We can find the highest common divisor of 789, 189, 316, 309 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, 189, 316, 309 i.e 1.
3. How can I use the GCD of 789, 189, 316, 309Calculator?
Out the numbers 789, 189, 316, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.