Online GCD Calculator is useful to find the GCD of 310, 864, 386, 130 quickly. Get the easiest ways to solve the greatest common divisor of 310, 864, 386, 130 i.e 2 in different methods as follows.
Given Input numbers are 310, 864, 386, 130
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (310, 864, 386, 130) = 2.
Given numbers are 310, 864, 386, 130
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 386 are 2 x 193
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 310, 864, 386, 130 is 2.
Given numbers are 310, 864, 386, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 864) = 133920
GCD(310, 864) = ( 310 x 864 ) / 133920
= 310 / 864
= 310
Step2:
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
= 2 / 386
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 310, 864, 386, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 864, 386, 130
The greatest common divisor of numbers 310, 864, 386, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 864, 386, 130 is 2.
1. What is the GCD of 310, 864, 386, 130?
GCD of given numbers 310, 864, 386, 130 is 2
2. How to calculate the greatest common divisor of 310, 864, 386, 130?
We can find the highest common divisor of 310, 864, 386, 130 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, 864, 386, 130 i.e 2.
3. How can I use the GCD of 310, 864, 386, 130Calculator?
Out the numbers 310, 864, 386, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.