Online GCD Calculator is useful to find the GCD of 308, 316, 806, 812 quickly. Get the easiest ways to solve the greatest common divisor of 308, 316, 806, 812 i.e 2 in different methods as follows.
Given Input numbers are 308, 316, 806, 812
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 806 :
The positive integer divisors of 806 that completely divides 806 are.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
GCD of numbers is the greatest common divisor
So, the GCD (308, 316, 806, 812) = 2.
Given numbers are 308, 316, 806, 812
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 316 are 2 x 2 x 79
Prime factors of 806 are 2 x 13 x 31
Prime factors of 812 are 2 x 2 x 7 x 29
The highest common occurrence is 21
Therefore, GCD of 308, 316, 806, 812 is 2.
Given numbers are 308, 316, 806, 812
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 316) = 24332
GCD(308, 316) = ( 308 x 316 ) / 24332
= 308 / 316
= 308
Step2:
LCM(4, 806) = 1612
GCD(4, 806) = ( 4 x 806 ) / 1612
= 4 / 806
= 4
Step3:
LCM(2, 812) = 812
GCD(2, 812) = ( 2 x 812 ) / 812
= 2 / 812
= 2
So, Greatest Common Divisor of 308, 316, 806, 812 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 316, 806, 812
The greatest common divisor of numbers 308, 316, 806, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 316, 806, 812 is 2.
1. What is the GCD of 308, 316, 806, 812?
GCD of given numbers 308, 316, 806, 812 is 2
2. How to calculate the greatest common divisor of 308, 316, 806, 812?
We can find the highest common divisor of 308, 316, 806, 812 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 308, 316, 806, 812 i.e 2.
3. How can I use the GCD of 308, 316, 806, 812Calculator?
Out the numbers 308, 316, 806, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.