Online GCD Calculator is useful to find the GCD of 308, 774, 330, 798 quickly. Get the easiest ways to solve the greatest common divisor of 308, 774, 330, 798 i.e 2 in different methods as follows.
Given Input numbers are 308, 774, 330, 798
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 (308, 774, 330, 798) = 2.
Given numbers are 308, 774, 330, 798
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 308, 774, 330, 798 is 2.
Given numbers are 308, 774, 330, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 774) = 119196
GCD(308, 774) = ( 308 x 774 ) / 119196
= 308 / 774
= 308
Step2:
LCM(2, 330) = 330
GCD(2, 330) = ( 2 x 330 ) / 330
= 2 / 330
= 2
Step3:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
So, Greatest Common Divisor of 308, 774, 330, 798 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 774, 330, 798
The greatest common divisor of numbers 308, 774, 330, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 774, 330, 798 is 2.
1. What is the GCD of 308, 774, 330, 798?
GCD of given numbers 308, 774, 330, 798 is 2
2. How to calculate the greatest common divisor of 308, 774, 330, 798?
We can find the highest common divisor of 308, 774, 330, 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 308, 774, 330, 798 i.e 2.
3. How can I use the GCD of 308, 774, 330, 798Calculator?
Out the numbers 308, 774, 330, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.