Online GCD Calculator is useful to find the GCD of 399, 600, 288 quickly. Get the easiest ways to solve the greatest common divisor of 399, 600, 288 i.e 3 in different methods as follows.
Given Input numbers are 399, 600, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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
GCD of numbers is the greatest common divisor
So, the GCD (399, 600, 288) = 3.
Given numbers are 399, 600, 288
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 399, 600, 288 is 3.
Given numbers are 399, 600, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 600) = 79800
GCD(399, 600) = ( 399 x 600 ) / 79800
= 399 / 600
= 399
Step2:
LCM(3, 288) = 288
GCD(3, 288) = ( 3 x 288 ) / 288
= 3 / 288
= 3
So, Greatest Common Divisor of 399, 600, 288 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 600, 288
The greatest common divisor of numbers 399, 600, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 600, 288 is 3.
1. What is the GCD of 399, 600, 288?
GCD of given numbers 399, 600, 288 is 3
2. How to calculate the greatest common divisor of 399, 600, 288?
We can find the highest common divisor of 399, 600, 288 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 399, 600, 288 i.e 3.
3. How can I use the GCD of 399, 600, 288Calculator?
Out the numbers 399, 600, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.