Online GCD Calculator is useful to find the GCD of 816, 678, 916, 850 quickly. Get the easiest ways to solve the greatest common divisor of 816, 678, 916, 850 i.e 2 in different methods as follows.
Given Input numbers are 816, 678, 916, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD of numbers is the greatest common divisor
So, the GCD (816, 678, 916, 850) = 2.
Given numbers are 816, 678, 916, 850
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 678 are 2 x 3 x 113
Prime factors of 916 are 2 x 2 x 229
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 816, 678, 916, 850 is 2.
Given numbers are 816, 678, 916, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 678) = 92208
GCD(816, 678) = ( 816 x 678 ) / 92208
= 816 / 678
= 816
Step2:
LCM(6, 916) = 2748
GCD(6, 916) = ( 6 x 916 ) / 2748
= 6 / 916
= 6
Step3:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
So, Greatest Common Divisor of 816, 678, 916, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 678, 916, 850
The greatest common divisor of numbers 816, 678, 916, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 678, 916, 850 is 2.
1. What is the GCD of 816, 678, 916, 850?
GCD of given numbers 816, 678, 916, 850 is 2
2. How to calculate the greatest common divisor of 816, 678, 916, 850?
We can find the highest common divisor of 816, 678, 916, 850 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 816, 678, 916, 850 i.e 2.
3. How can I use the GCD of 816, 678, 916, 850Calculator?
Out the numbers 816, 678, 916, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.