Online GCD Calculator is useful to find the GCD of 966, 975, 843 quickly. Get the easiest ways to solve the greatest common divisor of 966, 975, 843 i.e 3 in different methods as follows.
Given Input numbers are 966, 975, 843
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
GCD of numbers is the greatest common divisor
So, the GCD (966, 975, 843) = 3.
Given numbers are 966, 975, 843
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 843 are 3 x 281
The highest common occurrence is 31
Therefore, GCD of 966, 975, 843 is 3.
Given numbers are 966, 975, 843
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 975) = 313950
GCD(966, 975) = ( 966 x 975 ) / 313950
= 966 / 975
= 966
Step2:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
So, Greatest Common Divisor of 966, 975, 843 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 975, 843
The greatest common divisor of numbers 966, 975, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 975, 843 is 3.
1. What is the GCD of 966, 975, 843?
GCD of given numbers 966, 975, 843 is 3
2. How to calculate the greatest common divisor of 966, 975, 843?
We can find the highest common divisor of 966, 975, 843 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, 975, 843 i.e 3.
3. How can I use the GCD of 966, 975, 843Calculator?
Out the numbers 966, 975, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.