Online GCD Calculator is useful to find the GCD of 505, 130, 305, 128 quickly. Get the easiest ways to solve the greatest common divisor of 505, 130, 305, 128 i.e 1 in different methods as follows.
Given Input numbers are 505, 130, 305, 128
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
GCD of numbers is the greatest common divisor
So, the GCD (505, 130, 305, 128) = 1.
Given numbers are 505, 130, 305, 128
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 130 are 2 x 5 x 13
Prime factors of 305 are 5 x 61
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 505, 130, 305, 128
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 130) = 13130
GCD(505, 130) = ( 505 x 130 ) / 13130
= 505 / 130
= 505
Step2:
LCM(5, 305) = 305
GCD(5, 305) = ( 5 x 305 ) / 305
= 5 / 305
= 5
Step3:
LCM(5, 128) = 640
GCD(5, 128) = ( 5 x 128 ) / 640
= 5 / 128
= 5
So, Greatest Common Divisor of 505, 130, 305, 128 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 505, 130, 305, 128
The greatest common divisor of numbers 505, 130, 305, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 130, 305, 128 is 1.
1. What is the GCD of 505, 130, 305, 128?
GCD of given numbers 505, 130, 305, 128 is 1
2. How to calculate the greatest common divisor of 505, 130, 305, 128?
We can find the highest common divisor of 505, 130, 305, 128 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 505, 130, 305, 128 i.e 1.
3. How can I use the GCD of 505, 130, 305, 128Calculator?
Out the numbers 505, 130, 305, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.