Online GCD Calculator is useful to find the GCD of 645, 759, 966 quickly. Get the easiest ways to solve the greatest common divisor of 645, 759, 966 i.e 3 in different methods as follows.
Given Input numbers are 645, 759, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
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 (645, 759, 966) = 3.
Given numbers are 645, 759, 966
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 759 are 3 x 11 x 23
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 645, 759, 966 is 3.
Given numbers are 645, 759, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 759) = 163185
GCD(645, 759) = ( 645 x 759 ) / 163185
= 645 / 759
= 645
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 645, 759, 966 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 759, 966
The greatest common divisor of numbers 645, 759, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 759, 966 is 3.
1. What is the GCD of 645, 759, 966?
GCD of given numbers 645, 759, 966 is 3
2. How to calculate the greatest common divisor of 645, 759, 966?
We can find the highest common divisor of 645, 759, 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 645, 759, 966 i.e 3.
3. How can I use the GCD of 645, 759, 966Calculator?
Out the numbers 645, 759, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.