Online GCD Calculator is useful to find the GCD of 384, 212, 189, 188 quickly. Get the easiest ways to solve the greatest common divisor of 384, 212, 189, 188 i.e 1 in different methods as follows.
Given Input numbers are 384, 212, 189, 188
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
GCD of numbers is the greatest common divisor
So, the GCD (384, 212, 189, 188) = 1.
Given numbers are 384, 212, 189, 188
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 212 are 2 x 2 x 53
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 188 are 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 384, 212, 189, 188
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 212) = 20352
GCD(384, 212) = ( 384 x 212 ) / 20352
= 384 / 212
= 384
Step2:
LCM(4, 189) = 756
GCD(4, 189) = ( 4 x 189 ) / 756
= 4 / 189
= 4
Step3:
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
= 1 / 188
= 1
So, Greatest Common Divisor of 384, 212, 189, 188 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 212, 189, 188
The greatest common divisor of numbers 384, 212, 189, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 212, 189, 188 is 1.
1. What is the GCD of 384, 212, 189, 188?
GCD of given numbers 384, 212, 189, 188 is 1
2. How to calculate the greatest common divisor of 384, 212, 189, 188?
We can find the highest common divisor of 384, 212, 189, 188 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, 212, 189, 188 i.e 1.
3. How can I use the GCD of 384, 212, 189, 188Calculator?
Out the numbers 384, 212, 189, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.