Online GCD Calculator is useful to find the GCD of 159, 615, 387, 960 quickly. Get the easiest ways to solve the greatest common divisor of 159, 615, 387, 960 i.e 3 in different methods as follows.
Given Input numbers are 159, 615, 387, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
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 (159, 615, 387, 960) = 3.
Given numbers are 159, 615, 387, 960
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 615 are 3 x 5 x 41
Prime factors of 387 are 3 x 3 x 43
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 159, 615, 387, 960 is 3.
Given numbers are 159, 615, 387, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 615) = 32595
GCD(159, 615) = ( 159 x 615 ) / 32595
= 159 / 615
= 159
Step2:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 159, 615, 387, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 615, 387, 960
The greatest common divisor of numbers 159, 615, 387, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 615, 387, 960 is 3.
1. What is the GCD of 159, 615, 387, 960?
GCD of given numbers 159, 615, 387, 960 is 3
2. How to calculate the greatest common divisor of 159, 615, 387, 960?
We can find the highest common divisor of 159, 615, 387, 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 159, 615, 387, 960 i.e 3.
3. How can I use the GCD of 159, 615, 387, 960Calculator?
Out the numbers 159, 615, 387, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.