Online GCD Calculator is useful to find the GCD of 132, 159, 732, 960 quickly. Get the easiest ways to solve the greatest common divisor of 132, 159, 732, 960 i.e 3 in different methods as follows.
Given Input numbers are 132, 159, 732, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 (132, 159, 732, 960) = 3.
Given numbers are 132, 159, 732, 960
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 159 are 3 x 53
Prime factors of 732 are 2 x 2 x 3 x 61
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 132, 159, 732, 960 is 3.
Given numbers are 132, 159, 732, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 159) = 6996
GCD(132, 159) = ( 132 x 159 ) / 6996
= 132 / 159
= 132
Step2:
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
= 3 / 732
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 132, 159, 732, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 159, 732, 960
The greatest common divisor of numbers 132, 159, 732, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 159, 732, 960 is 3.
1. What is the GCD of 132, 159, 732, 960?
GCD of given numbers 132, 159, 732, 960 is 3
2. How to calculate the greatest common divisor of 132, 159, 732, 960?
We can find the highest common divisor of 132, 159, 732, 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 132, 159, 732, 960 i.e 3.
3. How can I use the GCD of 132, 159, 732, 960Calculator?
Out the numbers 132, 159, 732, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.