Online GCD Calculator is useful to find the GCD of 288, 780, 368 quickly. Get the easiest ways to solve the greatest common divisor of 288, 780, 368 i.e 4 in different methods as follows.
Given Input numbers are 288, 780, 368
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (288, 780, 368) = 4.
Given numbers are 288, 780, 368
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 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 288, 780, 368 is 4.
Given numbers are 288, 780, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 780) = 18720
GCD(288, 780) = ( 288 x 780 ) / 18720
= 288 / 780
= 288
Step2:
LCM(12, 368) = 1104
GCD(12, 368) = ( 12 x 368 ) / 1104
= 12 / 368
= 12
So, Greatest Common Divisor of 288, 780, 368 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 780, 368
The greatest common divisor of numbers 288, 780, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 780, 368 is 4.
1. What is the GCD of 288, 780, 368?
GCD of given numbers 288, 780, 368 is 4
2. How to calculate the greatest common divisor of 288, 780, 368?
We can find the highest common divisor of 288, 780, 368 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, 780, 368 i.e 4.
3. How can I use the GCD of 288, 780, 368Calculator?
Out the numbers 288, 780, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.