Online GCD Calculator is useful to find the GCD of 912, 676, 310, 318 quickly. Get the easiest ways to solve the greatest common divisor of 912, 676, 310, 318 i.e 2 in different methods as follows.
Given Input numbers are 912, 676, 310, 318
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (912, 676, 310, 318) = 2.
Given numbers are 912, 676, 310, 318
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 310 are 2 x 5 x 31
Prime factors of 318 are 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 912, 676, 310, 318 is 2.
Given numbers are 912, 676, 310, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 676) = 154128
GCD(912, 676) = ( 912 x 676 ) / 154128
= 912 / 676
= 912
Step2:
LCM(4, 310) = 620
GCD(4, 310) = ( 4 x 310 ) / 620
= 4 / 310
= 4
Step3:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
So, Greatest Common Divisor of 912, 676, 310, 318 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 676, 310, 318
The greatest common divisor of numbers 912, 676, 310, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 676, 310, 318 is 2.
1. What is the GCD of 912, 676, 310, 318?
GCD of given numbers 912, 676, 310, 318 is 2
2. How to calculate the greatest common divisor of 912, 676, 310, 318?
We can find the highest common divisor of 912, 676, 310, 318 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 912, 676, 310, 318 i.e 2.
3. How can I use the GCD of 912, 676, 310, 318Calculator?
Out the numbers 912, 676, 310, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.