Online GCD Calculator is useful to find the GCD of 678, 855, 405, 381 quickly. Get the easiest ways to solve the greatest common divisor of 678, 855, 405, 381 i.e 3 in different methods as follows.
Given Input numbers are 678, 855, 405, 381
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (678, 855, 405, 381) = 3.
Given numbers are 678, 855, 405, 381
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 678, 855, 405, 381 is 3.
Given numbers are 678, 855, 405, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 855) = 193230
GCD(678, 855) = ( 678 x 855 ) / 193230
= 678 / 855
= 678
Step2:
LCM(3, 405) = 405
GCD(3, 405) = ( 3 x 405 ) / 405
= 3 / 405
= 3
Step3:
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
= 3 / 381
= 3
So, Greatest Common Divisor of 678, 855, 405, 381 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 855, 405, 381
The greatest common divisor of numbers 678, 855, 405, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 855, 405, 381 is 3.
1. What is the GCD of 678, 855, 405, 381?
GCD of given numbers 678, 855, 405, 381 is 3
2. How to calculate the greatest common divisor of 678, 855, 405, 381?
We can find the highest common divisor of 678, 855, 405, 381 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, 855, 405, 381 i.e 3.
3. How can I use the GCD of 678, 855, 405, 381Calculator?
Out the numbers 678, 855, 405, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.