Online GCD Calculator is useful to find the GCD of 369, 180, 960 quickly. Get the easiest ways to solve the greatest common divisor of 369, 180, 960 i.e 3 in different methods as follows.
Given Input numbers are 369, 180, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 (369, 180, 960) = 3.
Given numbers are 369, 180, 960
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
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 369, 180, 960 is 3.
Given numbers are 369, 180, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 180) = 7380
GCD(369, 180) = ( 369 x 180 ) / 7380
= 369 / 180
= 369
Step2:
LCM(9, 960) = 2880
GCD(9, 960) = ( 9 x 960 ) / 2880
= 9 / 960
= 9
So, Greatest Common Divisor of 369, 180, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 180, 960
The greatest common divisor of numbers 369, 180, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 180, 960 is 3.
1. What is the GCD of 369, 180, 960?
GCD of given numbers 369, 180, 960 is 3
2. How to calculate the greatest common divisor of 369, 180, 960?
We can find the highest common divisor of 369, 180, 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 369, 180, 960 i.e 3.
3. How can I use the GCD of 369, 180, 960Calculator?
Out the numbers 369, 180, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.