Online GCD Calculator is useful to find the GCD of 916, 904, 12, 160 quickly. Get the easiest ways to solve the greatest common divisor of 916, 904, 12, 160 i.e 4 in different methods as follows.
Given Input numbers are 916, 904, 12, 160
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (916, 904, 12, 160) = 4.
Given numbers are 916, 904, 12, 160
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 12 are 2 x 2 x 3
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 22
Therefore, GCD of 916, 904, 12, 160 is 4.
Given numbers are 916, 904, 12, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 904) = 207016
GCD(916, 904) = ( 916 x 904 ) / 207016
= 916 / 904
= 916
Step2:
LCM(4, 12) = 12
GCD(4, 12) = ( 4 x 12 ) / 12
= 4 / 12
= 4
Step3:
LCM(4, 160) = 160
GCD(4, 160) = ( 4 x 160 ) / 160
= 4 / 160
= 4
So, Greatest Common Divisor of 916, 904, 12, 160 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 916, 904, 12, 160
The greatest common divisor of numbers 916, 904, 12, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 904, 12, 160 is 4.
1. What is the GCD of 916, 904, 12, 160?
GCD of given numbers 916, 904, 12, 160 is 4
2. How to calculate the greatest common divisor of 916, 904, 12, 160?
We can find the highest common divisor of 916, 904, 12, 160 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, 904, 12, 160 i.e 4.
3. How can I use the GCD of 916, 904, 12, 160Calculator?
Out the numbers 916, 904, 12, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.