Online GCD Calculator is useful to find the GCD of 375, 114, 960 quickly. Get the easiest ways to solve the greatest common divisor of 375, 114, 960 i.e 3 in different methods as follows.
Given Input numbers are 375, 114, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
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 (375, 114, 960) = 3.
Given numbers are 375, 114, 960
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 114 are 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 375, 114, 960 is 3.
Given numbers are 375, 114, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 114) = 14250
GCD(375, 114) = ( 375 x 114 ) / 14250
= 375 / 114
= 375
Step2:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 375, 114, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 114, 960
The greatest common divisor of numbers 375, 114, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 114, 960 is 3.
1. What is the GCD of 375, 114, 960?
GCD of given numbers 375, 114, 960 is 3
2. How to calculate the greatest common divisor of 375, 114, 960?
We can find the highest common divisor of 375, 114, 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 375, 114, 960 i.e 3.
3. How can I use the GCD of 375, 114, 960Calculator?
Out the numbers 375, 114, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.