Online GCD Calculator is useful to find the GCD of 310, 314, 378, 874 quickly. Get the easiest ways to solve the greatest common divisor of 310, 314, 378, 874 i.e 2 in different methods as follows.
Given Input numbers are 310, 314, 378, 874
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (310, 314, 378, 874) = 2.
Given numbers are 310, 314, 378, 874
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 314 are 2 x 157
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 310, 314, 378, 874 is 2.
Given numbers are 310, 314, 378, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 314) = 48670
GCD(310, 314) = ( 310 x 314 ) / 48670
= 310 / 314
= 310
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 310, 314, 378, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 314, 378, 874
The greatest common divisor of numbers 310, 314, 378, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 314, 378, 874 is 2.
1. What is the GCD of 310, 314, 378, 874?
GCD of given numbers 310, 314, 378, 874 is 2
2. How to calculate the greatest common divisor of 310, 314, 378, 874?
We can find the highest common divisor of 310, 314, 378, 874 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, 314, 378, 874 i.e 2.
3. How can I use the GCD of 310, 314, 378, 874Calculator?
Out the numbers 310, 314, 378, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.