Online GCD Calculator is useful to find the GCD of 615, 723, 966, 381 quickly. Get the easiest ways to solve the greatest common divisor of 615, 723, 966, 381 i.e 3 in different methods as follows.
Given Input numbers are 615, 723, 966, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 (615, 723, 966, 381) = 3.
Given numbers are 615, 723, 966, 381
The list of prime factors of all numbers are
Prime factors of 615 are 3 x 5 x 41
Prime factors of 723 are 3 x 241
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 615, 723, 966, 381 is 3.
Given numbers are 615, 723, 966, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(615, 723) = 148215
GCD(615, 723) = ( 615 x 723 ) / 148215
= 615 / 723
= 615
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
= 3 / 381
= 3
So, Greatest Common Divisor of 615, 723, 966, 381 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 615, 723, 966, 381
The greatest common divisor of numbers 615, 723, 966, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 723, 966, 381 is 3.
1. What is the GCD of 615, 723, 966, 381?
GCD of given numbers 615, 723, 966, 381 is 3
2. How to calculate the greatest common divisor of 615, 723, 966, 381?
We can find the highest common divisor of 615, 723, 966, 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 615, 723, 966, 381 i.e 3.
3. How can I use the GCD of 615, 723, 966, 381Calculator?
Out the numbers 615, 723, 966, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.