Online GCD Calculator is useful to find the GCD of 190, 345, 130, 620 quickly. Get the easiest ways to solve the greatest common divisor of 190, 345, 130, 620 i.e 5 in different methods as follows.
Given Input numbers are 190, 345, 130, 620
In the factoring method, we have to find the divisors of all numbers
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
GCD of numbers is the greatest common divisor
So, the GCD (190, 345, 130, 620) = 5.
Given numbers are 190, 345, 130, 620
The list of prime factors of all numbers are
Prime factors of 190 are 2 x 5 x 19
Prime factors of 345 are 3 x 5 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 620 are 2 x 2 x 5 x 31
The highest common occurrence is 51
Therefore, GCD of 190, 345, 130, 620 is 5.
Given numbers are 190, 345, 130, 620
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(190, 345) = 13110
GCD(190, 345) = ( 190 x 345 ) / 13110
= 190 / 345
= 190
Step2:
LCM(5, 130) = 130
GCD(5, 130) = ( 5 x 130 ) / 130
= 5 / 130
= 5
Step3:
LCM(5, 620) = 620
GCD(5, 620) = ( 5 x 620 ) / 620
= 5 / 620
= 5
So, Greatest Common Divisor of 190, 345, 130, 620 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 190, 345, 130, 620
The greatest common divisor of numbers 190, 345, 130, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 190, 345, 130, 620 is 5.
1. What is the GCD of 190, 345, 130, 620?
GCD of given numbers 190, 345, 130, 620 is 5
2. How to calculate the greatest common divisor of 190, 345, 130, 620?
We can find the highest common divisor of 190, 345, 130, 620 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 190, 345, 130, 620 i.e 5.
3. How can I use the GCD of 190, 345, 130, 620Calculator?
Out the numbers 190, 345, 130, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.