Online GCD Calculator is useful to find the GCD of 384, 166, 314, 788 quickly. Get the easiest ways to solve the greatest common divisor of 384, 166, 314, 788 i.e 2 in different methods as follows.
Given Input numbers are 384, 166, 314, 788
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 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (384, 166, 314, 788) = 2.
Given numbers are 384, 166, 314, 788
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 166 are 2 x 83
Prime factors of 314 are 2 x 157
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 21
Therefore, GCD of 384, 166, 314, 788 is 2.
Given numbers are 384, 166, 314, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 166) = 31872
GCD(384, 166) = ( 384 x 166 ) / 31872
= 384 / 166
= 384
Step2:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
Step3:
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
= 2 / 788
= 2
So, Greatest Common Divisor of 384, 166, 314, 788 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 166, 314, 788
The greatest common divisor of numbers 384, 166, 314, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 166, 314, 788 is 2.
1. What is the GCD of 384, 166, 314, 788?
GCD of given numbers 384, 166, 314, 788 is 2
2. How to calculate the greatest common divisor of 384, 166, 314, 788?
We can find the highest common divisor of 384, 166, 314, 788 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, 166, 314, 788 i.e 2.
3. How can I use the GCD of 384, 166, 314, 788Calculator?
Out the numbers 384, 166, 314, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.