Online GCD Calculator is useful to find the GCD of 228, 288, 411, 396 quickly. Get the easiest ways to solve the greatest common divisor of 228, 288, 411, 396 i.e 3 in different methods as follows.
Given Input numbers are 228, 288, 411, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
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 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (228, 288, 411, 396) = 3.
Given numbers are 228, 288, 411, 396
The list of prime factors of all numbers are
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 411 are 3 x 137
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 228, 288, 411, 396 is 3.
Given numbers are 228, 288, 411, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(228, 288) = 5472
GCD(228, 288) = ( 228 x 288 ) / 5472
= 228 / 288
= 228
Step2:
LCM(12, 411) = 1644
GCD(12, 411) = ( 12 x 411 ) / 1644
= 12 / 411
= 12
Step3:
LCM(3, 396) = 396
GCD(3, 396) = ( 3 x 396 ) / 396
= 3 / 396
= 3
So, Greatest Common Divisor of 228, 288, 411, 396 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 228, 288, 411, 396
The greatest common divisor of numbers 228, 288, 411, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 288, 411, 396 is 3.
1. What is the GCD of 228, 288, 411, 396?
GCD of given numbers 228, 288, 411, 396 is 3
2. How to calculate the greatest common divisor of 228, 288, 411, 396?
We can find the highest common divisor of 228, 288, 411, 396 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 228, 288, 411, 396 i.e 3.
3. How can I use the GCD of 228, 288, 411, 396Calculator?
Out the numbers 228, 288, 411, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.