Online GCD Calculator is useful to find the GCD of 384, 723, 165, 393 quickly. Get the easiest ways to solve the greatest common divisor of 384, 723, 165, 393 i.e 3 in different methods as follows.
Given Input numbers are 384, 723, 165, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
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 (384, 723, 165, 393) = 3.
Given numbers are 384, 723, 165, 393
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 723 are 3 x 241
Prime factors of 165 are 3 x 5 x 11
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 384, 723, 165, 393 is 3.
Given numbers are 384, 723, 165, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 723) = 92544
GCD(384, 723) = ( 384 x 723 ) / 92544
= 384 / 723
= 384
Step2:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
Step3:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
So, Greatest Common Divisor of 384, 723, 165, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 723, 165, 393
The greatest common divisor of numbers 384, 723, 165, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 723, 165, 393 is 3.
1. What is the GCD of 384, 723, 165, 393?
GCD of given numbers 384, 723, 165, 393 is 3
2. How to calculate the greatest common divisor of 384, 723, 165, 393?
We can find the highest common divisor of 384, 723, 165, 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 384, 723, 165, 393 i.e 3.
3. How can I use the GCD of 384, 723, 165, 393Calculator?
Out the numbers 384, 723, 165, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.