Online GCD Calculator is useful to find the GCD of 966, 316, 756, 736 quickly. Get the easiest ways to solve the greatest common divisor of 966, 316, 756, 736 i.e 2 in different methods as follows.
Given Input numbers are 966, 316, 756, 736
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
GCD of numbers is the greatest common divisor
So, the GCD (966, 316, 756, 736) = 2.
Given numbers are 966, 316, 756, 736
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 316 are 2 x 2 x 79
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 966, 316, 756, 736 is 2.
Given numbers are 966, 316, 756, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 316) = 152628
GCD(966, 316) = ( 966 x 316 ) / 152628
= 966 / 316
= 966
Step2:
LCM(2, 756) = 756
GCD(2, 756) = ( 2 x 756 ) / 756
= 2 / 756
= 2
Step3:
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
= 2 / 736
= 2
So, Greatest Common Divisor of 966, 316, 756, 736 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 316, 756, 736
The greatest common divisor of numbers 966, 316, 756, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 316, 756, 736 is 2.
1. What is the GCD of 966, 316, 756, 736?
GCD of given numbers 966, 316, 756, 736 is 2
2. How to calculate the greatest common divisor of 966, 316, 756, 736?
We can find the highest common divisor of 966, 316, 756, 736 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, 316, 756, 736 i.e 2.
3. How can I use the GCD of 966, 316, 756, 736Calculator?
Out the numbers 966, 316, 756, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.