Online GCD Calculator is useful to find the GCD of 384, 147, 346, 966 quickly. Get the easiest ways to solve the greatest common divisor of 384, 147, 346, 966 i.e 1 in different methods as follows.
Given Input numbers are 384, 147, 346, 966
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 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
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
GCD of numbers is the greatest common divisor
So, the GCD (384, 147, 346, 966) = 1.
Given numbers are 384, 147, 346, 966
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 147 are 3 x 7 x 7
Prime factors of 346 are 2 x 173
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 384, 147, 346, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 147) = 18816
GCD(384, 147) = ( 384 x 147 ) / 18816
= 384 / 147
= 384
Step2:
LCM(3, 346) = 1038
GCD(3, 346) = ( 3 x 346 ) / 1038
= 3 / 346
= 3
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 384, 147, 346, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 147, 346, 966
The greatest common divisor of numbers 384, 147, 346, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 147, 346, 966 is 1.
1. What is the GCD of 384, 147, 346, 966?
GCD of given numbers 384, 147, 346, 966 is 1
2. How to calculate the greatest common divisor of 384, 147, 346, 966?
We can find the highest common divisor of 384, 147, 346, 966 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, 147, 346, 966 i.e 1.
3. How can I use the GCD of 384, 147, 346, 966Calculator?
Out the numbers 384, 147, 346, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.