Online GCD Calculator is useful to find the GCD of 130, 310, 234, 186 quickly. Get the easiest ways to solve the greatest common divisor of 130, 310, 234, 186 i.e 2 in different methods as follows.
Given Input numbers are 130, 310, 234, 186
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
GCD of numbers is the greatest common divisor
So, the GCD (130, 310, 234, 186) = 2.
Given numbers are 130, 310, 234, 186
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 310 are 2 x 5 x 31
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 186 are 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 130, 310, 234, 186 is 2.
Given numbers are 130, 310, 234, 186
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 310) = 4030
GCD(130, 310) = ( 130 x 310 ) / 4030
= 130 / 310
= 130
Step2:
LCM(10, 234) = 1170
GCD(10, 234) = ( 10 x 234 ) / 1170
= 10 / 234
= 10
Step3:
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
= 2 / 186
= 2
So, Greatest Common Divisor of 130, 310, 234, 186 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 310, 234, 186
The greatest common divisor of numbers 130, 310, 234, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 310, 234, 186 is 2.
1. What is the GCD of 130, 310, 234, 186?
GCD of given numbers 130, 310, 234, 186 is 2
2. How to calculate the greatest common divisor of 130, 310, 234, 186?
We can find the highest common divisor of 130, 310, 234, 186 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 130, 310, 234, 186 i.e 2.
3. How can I use the GCD of 130, 310, 234, 186Calculator?
Out the numbers 130, 310, 234, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.