Online GCD Calculator is useful to find the GCD of 195, 585, 960, 471 quickly. Get the easiest ways to solve the greatest common divisor of 195, 585, 960, 471 i.e 3 in different methods as follows.
Given Input numbers are 195, 585, 960, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
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
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (195, 585, 960, 471) = 3.
Given numbers are 195, 585, 960, 471
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 195, 585, 960, 471 is 3.
Given numbers are 195, 585, 960, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 585) = 585
GCD(195, 585) = ( 195 x 585 ) / 585
= 195 / 585
= 195
Step2:
LCM(195, 960) = 12480
GCD(195, 960) = ( 195 x 960 ) / 12480
= 195 / 960
= 195
Step3:
LCM(15, 471) = 2355
GCD(15, 471) = ( 15 x 471 ) / 2355
= 15 / 471
= 15
So, Greatest Common Divisor of 195, 585, 960, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 195, 585, 960, 471
The greatest common divisor of numbers 195, 585, 960, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 585, 960, 471 is 3.
1. What is the GCD of 195, 585, 960, 471?
GCD of given numbers 195, 585, 960, 471 is 3
2. How to calculate the greatest common divisor of 195, 585, 960, 471?
We can find the highest common divisor of 195, 585, 960, 471 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 195, 585, 960, 471 i.e 3.
3. How can I use the GCD of 195, 585, 960, 471Calculator?
Out the numbers 195, 585, 960, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.