Online GCD Calculator is useful to find the GCD of 108, 894, 216, 916 quickly. Get the easiest ways to solve the greatest common divisor of 108, 894, 216, 916 i.e 2 in different methods as follows.
Given Input numbers are 108, 894, 216, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (108, 894, 216, 916) = 2.
Given numbers are 108, 894, 216, 916
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 894 are 2 x 3 x 149
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 108, 894, 216, 916 is 2.
Given numbers are 108, 894, 216, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 894) = 16092
GCD(108, 894) = ( 108 x 894 ) / 16092
= 108 / 894
= 108
Step2:
LCM(6, 216) = 216
GCD(6, 216) = ( 6 x 216 ) / 216
= 6 / 216
= 6
Step3:
LCM(6, 916) = 2748
GCD(6, 916) = ( 6 x 916 ) / 2748
= 6 / 916
= 6
So, Greatest Common Divisor of 108, 894, 216, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 894, 216, 916
The greatest common divisor of numbers 108, 894, 216, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 894, 216, 916 is 2.
1. What is the GCD of 108, 894, 216, 916?
GCD of given numbers 108, 894, 216, 916 is 2
2. How to calculate the greatest common divisor of 108, 894, 216, 916?
We can find the highest common divisor of 108, 894, 216, 916 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 108, 894, 216, 916 i.e 2.
3. How can I use the GCD of 108, 894, 216, 916Calculator?
Out the numbers 108, 894, 216, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.