Online GCD Calculator is useful to find the GCD of 312, 742, 930, 968 quickly. Get the easiest ways to solve the greatest common divisor of 312, 742, 930, 968 i.e 2 in different methods as follows.
Given Input numbers are 312, 742, 930, 968
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (312, 742, 930, 968) = 2.
Given numbers are 312, 742, 930, 968
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 742 are 2 x 7 x 53
Prime factors of 930 are 2 x 3 x 5 x 31
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 312, 742, 930, 968 is 2.
Given numbers are 312, 742, 930, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 742) = 115752
GCD(312, 742) = ( 312 x 742 ) / 115752
= 312 / 742
= 312
Step2:
LCM(2, 930) = 930
GCD(2, 930) = ( 2 x 930 ) / 930
= 2 / 930
= 2
Step3:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
So, Greatest Common Divisor of 312, 742, 930, 968 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 742, 930, 968
The greatest common divisor of numbers 312, 742, 930, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 742, 930, 968 is 2.
1. What is the GCD of 312, 742, 930, 968?
GCD of given numbers 312, 742, 930, 968 is 2
2. How to calculate the greatest common divisor of 312, 742, 930, 968?
We can find the highest common divisor of 312, 742, 930, 968 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, 742, 930, 968 i.e 2.
3. How can I use the GCD of 312, 742, 930, 968Calculator?
Out the numbers 312, 742, 930, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.