Online GCD Calculator is useful to find the GCD of 363, 115, 122, 966 quickly. Get the easiest ways to solve the greatest common divisor of 363, 115, 122, 966 i.e 1 in different methods as follows.
Given Input numbers are 363, 115, 122, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (363, 115, 122, 966) = 1.
Given numbers are 363, 115, 122, 966
The list of prime factors of all numbers are
Prime factors of 363 are 3 x 11 x 11
Prime factors of 115 are 5 x 23
Prime factors of 122 are 2 x 61
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 363, 115, 122, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(363, 115) = 41745
GCD(363, 115) = ( 363 x 115 ) / 41745
= 363 / 115
= 363
Step2:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 363, 115, 122, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 363, 115, 122, 966
The greatest common divisor of numbers 363, 115, 122, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 115, 122, 966 is 1.
1. What is the GCD of 363, 115, 122, 966?
GCD of given numbers 363, 115, 122, 966 is 1
2. How to calculate the greatest common divisor of 363, 115, 122, 966?
We can find the highest common divisor of 363, 115, 122, 966 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 363, 115, 122, 966 i.e 1.
3. How can I use the GCD of 363, 115, 122, 966Calculator?
Out the numbers 363, 115, 122, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.