Online GCD Calculator is useful to find the GCD of 855, 345, 678 quickly. Get the easiest ways to solve the greatest common divisor of 855, 345, 678 i.e 3 in different methods as follows.
Given Input numbers are 855, 345, 678
In the factoring method, we have to find the divisors of all numbers
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (855, 345, 678) = 3.
Given numbers are 855, 345, 678
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 345 are 3 x 5 x 23
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 31
Therefore, GCD of 855, 345, 678 is 3.
Given numbers are 855, 345, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 345) = 19665
GCD(855, 345) = ( 855 x 345 ) / 19665
= 855 / 345
= 855
Step2:
LCM(15, 678) = 3390
GCD(15, 678) = ( 15 x 678 ) / 3390
= 15 / 678
= 15
So, Greatest Common Divisor of 855, 345, 678 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 345, 678
The greatest common divisor of numbers 855, 345, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 345, 678 is 3.
1. What is the GCD of 855, 345, 678?
GCD of given numbers 855, 345, 678 is 3
2. How to calculate the greatest common divisor of 855, 345, 678?
We can find the highest common divisor of 855, 345, 678 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 855, 345, 678 i.e 3.
3. How can I use the GCD of 855, 345, 678Calculator?
Out the numbers 855, 345, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.