Online GCD Calculator is useful to find the GCD of 130, 195, 512, 175 quickly. Get the easiest ways to solve the greatest common divisor of 130, 195, 512, 175 i.e 1 in different methods as follows.
Given Input numbers are 130, 195, 512, 175
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 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (130, 195, 512, 175) = 1.
Given numbers are 130, 195, 512, 175
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 195 are 3 x 5 x 13
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 195, 512, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 195) = 390
GCD(130, 195) = ( 130 x 195 ) / 390
= 130 / 195
= 130
Step2:
LCM(65, 512) = 33280
GCD(65, 512) = ( 65 x 512 ) / 33280
= 65 / 512
= 65
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 130, 195, 512, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 195, 512, 175
The greatest common divisor of numbers 130, 195, 512, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 195, 512, 175 is 1.
1. What is the GCD of 130, 195, 512, 175?
GCD of given numbers 130, 195, 512, 175 is 1
2. How to calculate the greatest common divisor of 130, 195, 512, 175?
We can find the highest common divisor of 130, 195, 512, 175 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, 195, 512, 175 i.e 1.
3. How can I use the GCD of 130, 195, 512, 175Calculator?
Out the numbers 130, 195, 512, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.