Online GCD Calculator is useful to find the GCD of 288, 477, 216, 444 quickly. Get the easiest ways to solve the greatest common divisor of 288, 477, 216, 444 i.e 3 in different methods as follows.
Given Input numbers are 288, 477, 216, 444
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 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (288, 477, 216, 444) = 3.
Given numbers are 288, 477, 216, 444
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 477 are 3 x 3 x 53
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 288, 477, 216, 444 is 3.
Given numbers are 288, 477, 216, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 477) = 15264
GCD(288, 477) = ( 288 x 477 ) / 15264
= 288 / 477
= 288
Step2:
LCM(9, 216) = 216
GCD(9, 216) = ( 9 x 216 ) / 216
= 9 / 216
= 9
Step3:
LCM(9, 444) = 1332
GCD(9, 444) = ( 9 x 444 ) / 1332
= 9 / 444
= 9
So, Greatest Common Divisor of 288, 477, 216, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 477, 216, 444
The greatest common divisor of numbers 288, 477, 216, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 477, 216, 444 is 3.
1. What is the GCD of 288, 477, 216, 444?
GCD of given numbers 288, 477, 216, 444 is 3
2. How to calculate the greatest common divisor of 288, 477, 216, 444?
We can find the highest common divisor of 288, 477, 216, 444 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, 477, 216, 444 i.e 3.
3. How can I use the GCD of 288, 477, 216, 444Calculator?
Out the numbers 288, 477, 216, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.