Online GCD Calculator is useful to find the GCD of 275, 961, 312, 960 quickly. Get the easiest ways to solve the greatest common divisor of 275, 961, 312, 960 i.e 1 in different methods as follows.
Given Input numbers are 275, 961, 312, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 (275, 961, 312, 960) = 1.
Given numbers are 275, 961, 312, 960
The list of prime factors of all numbers are
Prime factors of 275 are 5 x 5 x 11
Prime factors of 961 are 31 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 275, 961, 312, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(275, 961) = 264275
GCD(275, 961) = ( 275 x 961 ) / 264275
= 275 / 961
= 275
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 275, 961, 312, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 275, 961, 312, 960
The greatest common divisor of numbers 275, 961, 312, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 961, 312, 960 is 1.
1. What is the GCD of 275, 961, 312, 960?
GCD of given numbers 275, 961, 312, 960 is 1
2. How to calculate the greatest common divisor of 275, 961, 312, 960?
We can find the highest common divisor of 275, 961, 312, 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 275, 961, 312, 960 i.e 1.
3. How can I use the GCD of 275, 961, 312, 960Calculator?
Out the numbers 275, 961, 312, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.