Online GCD Calculator is useful to find the GCD of 108, 633, 456, 960 quickly. Get the easiest ways to solve the greatest common divisor of 108, 633, 456, 960 i.e 3 in different methods as follows.
Given Input numbers are 108, 633, 456, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 (108, 633, 456, 960) = 3.
Given numbers are 108, 633, 456, 960
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 633 are 3 x 211
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
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 108, 633, 456, 960 is 3.
Given numbers are 108, 633, 456, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 633) = 22788
GCD(108, 633) = ( 108 x 633 ) / 22788
= 108 / 633
= 108
Step2:
LCM(3, 456) = 456
GCD(3, 456) = ( 3 x 456 ) / 456
= 3 / 456
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 108, 633, 456, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 633, 456, 960
The greatest common divisor of numbers 108, 633, 456, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 633, 456, 960 is 3.
1. What is the GCD of 108, 633, 456, 960?
GCD of given numbers 108, 633, 456, 960 is 3
2. How to calculate the greatest common divisor of 108, 633, 456, 960?
We can find the highest common divisor of 108, 633, 456, 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 108, 633, 456, 960 i.e 3.
3. How can I use the GCD of 108, 633, 456, 960Calculator?
Out the numbers 108, 633, 456, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.