Online GCD Calculator is useful to find the GCD of 396, 436, 664, 756 quickly. Get the easiest ways to solve the greatest common divisor of 396, 436, 664, 756 i.e 4 in different methods as follows.
Given Input numbers are 396, 436, 664, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
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
GCD of numbers is the greatest common divisor
So, the GCD (396, 436, 664, 756) = 4.
Given numbers are 396, 436, 664, 756
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 436 are 2 x 2 x 109
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 396, 436, 664, 756 is 4.
Given numbers are 396, 436, 664, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 436) = 43164
GCD(396, 436) = ( 396 x 436 ) / 43164
= 396 / 436
= 396
Step2:
LCM(4, 664) = 664
GCD(4, 664) = ( 4 x 664 ) / 664
= 4 / 664
= 4
Step3:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
So, Greatest Common Divisor of 396, 436, 664, 756 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 436, 664, 756
The greatest common divisor of numbers 396, 436, 664, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 436, 664, 756 is 4.
1. What is the GCD of 396, 436, 664, 756?
GCD of given numbers 396, 436, 664, 756 is 4
2. How to calculate the greatest common divisor of 396, 436, 664, 756?
We can find the highest common divisor of 396, 436, 664, 756 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 396, 436, 664, 756 i.e 4.
3. How can I use the GCD of 396, 436, 664, 756Calculator?
Out the numbers 396, 436, 664, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.