Online GCD Calculator is useful to find the GCD of 303, 576, 249, 960 quickly. Get the easiest ways to solve the greatest common divisor of 303, 576, 249, 960 i.e 3 in different methods as follows.
Given Input numbers are 303, 576, 249, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (303, 576, 249, 960) = 3.
Given numbers are 303, 576, 249, 960
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 249 are 3 x 83
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 303, 576, 249, 960 is 3.
Given numbers are 303, 576, 249, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 576) = 58176
GCD(303, 576) = ( 303 x 576 ) / 58176
= 303 / 576
= 303
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 303, 576, 249, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 303, 576, 249, 960
The greatest common divisor of numbers 303, 576, 249, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 576, 249, 960 is 3.
1. What is the GCD of 303, 576, 249, 960?
GCD of given numbers 303, 576, 249, 960 is 3
2. How to calculate the greatest common divisor of 303, 576, 249, 960?
We can find the highest common divisor of 303, 576, 249, 960 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 303, 576, 249, 960 i.e 3.
3. How can I use the GCD of 303, 576, 249, 960Calculator?
Out the numbers 303, 576, 249, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.