Online GCD Calculator is useful to find the GCD of 916, 328, 484, 936 quickly. Get the easiest ways to solve the greatest common divisor of 916, 328, 484, 936 i.e 4 in different methods as follows.
Given Input numbers are 916, 328, 484, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (916, 328, 484, 936) = 4.
Given numbers are 916, 328, 484, 936
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 916, 328, 484, 936 is 4.
Given numbers are 916, 328, 484, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 328) = 75112
GCD(916, 328) = ( 916 x 328 ) / 75112
= 916 / 328
= 916
Step2:
LCM(4, 484) = 484
GCD(4, 484) = ( 4 x 484 ) / 484
= 4 / 484
= 4
Step3:
LCM(4, 936) = 936
GCD(4, 936) = ( 4 x 936 ) / 936
= 4 / 936
= 4
So, Greatest Common Divisor of 916, 328, 484, 936 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 916, 328, 484, 936
The greatest common divisor of numbers 916, 328, 484, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 328, 484, 936 is 4.
1. What is the GCD of 916, 328, 484, 936?
GCD of given numbers 916, 328, 484, 936 is 4
2. How to calculate the greatest common divisor of 916, 328, 484, 936?
We can find the highest common divisor of 916, 328, 484, 936 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 916, 328, 484, 936 i.e 4.
3. How can I use the GCD of 916, 328, 484, 936Calculator?
Out the numbers 916, 328, 484, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.