Online GCD Calculator is useful to find the GCD of 288, 212, 482, 384 quickly. Get the easiest ways to solve the greatest common divisor of 288, 212, 482, 384 i.e 2 in different methods as follows.
Given Input numbers are 288, 212, 482, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
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
GCD of numbers is the greatest common divisor
So, the GCD (288, 212, 482, 384) = 2.
Given numbers are 288, 212, 482, 384
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 212 are 2 x 2 x 53
Prime factors of 482 are 2 x 241
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 288, 212, 482, 384 is 2.
Given numbers are 288, 212, 482, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 212) = 15264
GCD(288, 212) = ( 288 x 212 ) / 15264
= 288 / 212
= 288
Step2:
LCM(4, 482) = 964
GCD(4, 482) = ( 4 x 482 ) / 964
= 4 / 482
= 4
Step3:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
So, Greatest Common Divisor of 288, 212, 482, 384 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 212, 482, 384
The greatest common divisor of numbers 288, 212, 482, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 212, 482, 384 is 2.
1. What is the GCD of 288, 212, 482, 384?
GCD of given numbers 288, 212, 482, 384 is 2
2. How to calculate the greatest common divisor of 288, 212, 482, 384?
We can find the highest common divisor of 288, 212, 482, 384 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 288, 212, 482, 384 i.e 2.
3. How can I use the GCD of 288, 212, 482, 384Calculator?
Out the numbers 288, 212, 482, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.