Online GCD Calculator is useful to find the GCD of 966, 986, 109, 296 quickly. Get the easiest ways to solve the greatest common divisor of 966, 986, 109, 296 i.e 1 in different methods as follows.
Given Input numbers are 966, 986, 109, 296
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
GCD of numbers is the greatest common divisor
So, the GCD (966, 986, 109, 296) = 1.
Given numbers are 966, 986, 109, 296
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 986 are 2 x 17 x 29
Prime factors of 109 are 109
Prime factors of 296 are 2 x 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 966, 986, 109, 296
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 986) = 476238
GCD(966, 986) = ( 966 x 986 ) / 476238
= 966 / 986
= 966
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
Step3:
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
= 1 / 296
= 1
So, Greatest Common Divisor of 966, 986, 109, 296 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 986, 109, 296
The greatest common divisor of numbers 966, 986, 109, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 986, 109, 296 is 1.
1. What is the GCD of 966, 986, 109, 296?
GCD of given numbers 966, 986, 109, 296 is 1
2. How to calculate the greatest common divisor of 966, 986, 109, 296?
We can find the highest common divisor of 966, 986, 109, 296 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 966, 986, 109, 296 i.e 1.
3. How can I use the GCD of 966, 986, 109, 296Calculator?
Out the numbers 966, 986, 109, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.