Online GCD Calculator is useful to find the GCD of 130, 796, 198, 500 quickly. Get the easiest ways to solve the greatest common divisor of 130, 796, 198, 500 i.e 2 in different methods as follows.
Given Input numbers are 130, 796, 198, 500
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 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (130, 796, 198, 500) = 2.
Given numbers are 130, 796, 198, 500
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 796 are 2 x 2 x 199
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 130, 796, 198, 500 is 2.
Given numbers are 130, 796, 198, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 796) = 51740
GCD(130, 796) = ( 130 x 796 ) / 51740
= 130 / 796
= 130
Step2:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 130, 796, 198, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 796, 198, 500
The greatest common divisor of numbers 130, 796, 198, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 796, 198, 500 is 2.
1. What is the GCD of 130, 796, 198, 500?
GCD of given numbers 130, 796, 198, 500 is 2
2. How to calculate the greatest common divisor of 130, 796, 198, 500?
We can find the highest common divisor of 130, 796, 198, 500 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, 796, 198, 500 i.e 2.
3. How can I use the GCD of 130, 796, 198, 500Calculator?
Out the numbers 130, 796, 198, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.