Online GCD Calculator is useful to find the GCD of 130, 475, 365, 305 quickly. Get the easiest ways to solve the greatest common divisor of 130, 475, 365, 305 i.e 5 in different methods as follows.
Given Input numbers are 130, 475, 365, 305
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 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
GCD of numbers is the greatest common divisor
So, the GCD (130, 475, 365, 305) = 5.
Given numbers are 130, 475, 365, 305
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 475 are 5 x 5 x 19
Prime factors of 365 are 5 x 73
Prime factors of 305 are 5 x 61
The highest common occurrence is 51
Therefore, GCD of 130, 475, 365, 305 is 5.
Given numbers are 130, 475, 365, 305
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 475) = 12350
GCD(130, 475) = ( 130 x 475 ) / 12350
= 130 / 475
= 130
Step2:
LCM(5, 365) = 365
GCD(5, 365) = ( 5 x 365 ) / 365
= 5 / 365
= 5
Step3:
LCM(5, 305) = 305
GCD(5, 305) = ( 5 x 305 ) / 305
= 5 / 305
= 5
So, Greatest Common Divisor of 130, 475, 365, 305 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 475, 365, 305
The greatest common divisor of numbers 130, 475, 365, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 475, 365, 305 is 5.
1. What is the GCD of 130, 475, 365, 305?
GCD of given numbers 130, 475, 365, 305 is 5
2. How to calculate the greatest common divisor of 130, 475, 365, 305?
We can find the highest common divisor of 130, 475, 365, 305 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, 475, 365, 305 i.e 5.
3. How can I use the GCD of 130, 475, 365, 305Calculator?
Out the numbers 130, 475, 365, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.