Online GCD Calculator is useful to find the GCD of 645, 966, 444, 684 quickly. Get the easiest ways to solve the greatest common divisor of 645, 966, 444, 684 i.e 3 in different methods as follows.
Given Input numbers are 645, 966, 444, 684
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 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 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (645, 966, 444, 684) = 3.
Given numbers are 645, 966, 444, 684
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 645, 966, 444, 684 is 3.
Given numbers are 645, 966, 444, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 966) = 207690
GCD(645, 966) = ( 645 x 966 ) / 207690
= 645 / 966
= 645
Step2:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
Step3:
LCM(3, 684) = 684
GCD(3, 684) = ( 3 x 684 ) / 684
= 3 / 684
= 3
So, Greatest Common Divisor of 645, 966, 444, 684 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 966, 444, 684
The greatest common divisor of numbers 645, 966, 444, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 966, 444, 684 is 3.
1. What is the GCD of 645, 966, 444, 684?
GCD of given numbers 645, 966, 444, 684 is 3
2. How to calculate the greatest common divisor of 645, 966, 444, 684?
We can find the highest common divisor of 645, 966, 444, 684 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, 966, 444, 684 i.e 3.
3. How can I use the GCD of 645, 966, 444, 684Calculator?
Out the numbers 645, 966, 444, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.