Online GCD Calculator is useful to find the GCD of 678, 927, 711, 393 quickly. Get the easiest ways to solve the greatest common divisor of 678, 927, 711, 393 i.e 3 in different methods as follows.
Given Input numbers are 678, 927, 711, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
GCD of numbers is the greatest common divisor
So, the GCD (678, 927, 711, 393) = 3.
Given numbers are 678, 927, 711, 393
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 927 are 3 x 3 x 103
Prime factors of 711 are 3 x 3 x 79
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 678, 927, 711, 393 is 3.
Given numbers are 678, 927, 711, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 927) = 209502
GCD(678, 927) = ( 678 x 927 ) / 209502
= 678 / 927
= 678
Step2:
LCM(3, 711) = 711
GCD(3, 711) = ( 3 x 711 ) / 711
= 3 / 711
= 3
Step3:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
So, Greatest Common Divisor of 678, 927, 711, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 927, 711, 393
The greatest common divisor of numbers 678, 927, 711, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 927, 711, 393 is 3.
1. What is the GCD of 678, 927, 711, 393?
GCD of given numbers 678, 927, 711, 393 is 3
2. How to calculate the greatest common divisor of 678, 927, 711, 393?
We can find the highest common divisor of 678, 927, 711, 393 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 678, 927, 711, 393 i.e 3.
3. How can I use the GCD of 678, 927, 711, 393Calculator?
Out the numbers 678, 927, 711, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.