Online GCD Calculator is useful to find the GCD of 312, 682, 798 quickly. Get the easiest ways to solve the greatest common divisor of 312, 682, 798 i.e 2 in different methods as follows.
Given Input numbers are 312, 682, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (312, 682, 798) = 2.
Given numbers are 312, 682, 798
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 682 are 2 x 11 x 31
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 312, 682, 798 is 2.
Given numbers are 312, 682, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 682) = 106392
GCD(312, 682) = ( 312 x 682 ) / 106392
= 312 / 682
= 312
Step2:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
So, Greatest Common Divisor of 312, 682, 798 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 682, 798
The greatest common divisor of numbers 312, 682, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 682, 798 is 2.
1. What is the GCD of 312, 682, 798?
GCD of given numbers 312, 682, 798 is 2
2. How to calculate the greatest common divisor of 312, 682, 798?
We can find the highest common divisor of 312, 682, 798 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 312, 682, 798 i.e 2.
3. How can I use the GCD of 312, 682, 798Calculator?
Out the numbers 312, 682, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.