Online GCD Calculator is useful to find the GCD of 736, 432, 966, 444 quickly. Get the easiest ways to solve the greatest common divisor of 736, 432, 966, 444 i.e 2 in different methods as follows.
Given Input numbers are 736, 432, 966, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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
GCD of numbers is the greatest common divisor
So, the GCD (736, 432, 966, 444) = 2.
Given numbers are 736, 432, 966, 444
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 736, 432, 966, 444 is 2.
Given numbers are 736, 432, 966, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 432) = 19872
GCD(736, 432) = ( 736 x 432 ) / 19872
= 736 / 432
= 736
Step2:
LCM(16, 966) = 7728
GCD(16, 966) = ( 16 x 966 ) / 7728
= 16 / 966
= 16
Step3:
LCM(2, 444) = 444
GCD(2, 444) = ( 2 x 444 ) / 444
= 2 / 444
= 2
So, Greatest Common Divisor of 736, 432, 966, 444 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 432, 966, 444
The greatest common divisor of numbers 736, 432, 966, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 432, 966, 444 is 2.
1. What is the GCD of 736, 432, 966, 444?
GCD of given numbers 736, 432, 966, 444 is 2
2. How to calculate the greatest common divisor of 736, 432, 966, 444?
We can find the highest common divisor of 736, 432, 966, 444 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 736, 432, 966, 444 i.e 2.
3. How can I use the GCD of 736, 432, 966, 444Calculator?
Out the numbers 736, 432, 966, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.