Online GCD Calculator is useful to find the GCD of 310, 368, 856, 876 quickly. Get the easiest ways to solve the greatest common divisor of 310, 368, 856, 876 i.e 2 in different methods as follows.
Given Input numbers are 310, 368, 856, 876
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (310, 368, 856, 876) = 2.
Given numbers are 310, 368, 856, 876
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 310, 368, 856, 876 is 2.
Given numbers are 310, 368, 856, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 368) = 57040
GCD(310, 368) = ( 310 x 368 ) / 57040
= 310 / 368
= 310
Step2:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
Step3:
LCM(2, 876) = 876
GCD(2, 876) = ( 2 x 876 ) / 876
= 2 / 876
= 2
So, Greatest Common Divisor of 310, 368, 856, 876 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 368, 856, 876
The greatest common divisor of numbers 310, 368, 856, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 368, 856, 876 is 2.
1. What is the GCD of 310, 368, 856, 876?
GCD of given numbers 310, 368, 856, 876 is 2
2. How to calculate the greatest common divisor of 310, 368, 856, 876?
We can find the highest common divisor of 310, 368, 856, 876 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 310, 368, 856, 876 i.e 2.
3. How can I use the GCD of 310, 368, 856, 876Calculator?
Out the numbers 310, 368, 856, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.