Online GCD Calculator is useful to find the GCD of 130, 180, 717, 497 quickly. Get the easiest ways to solve the greatest common divisor of 130, 180, 717, 497 i.e 1 in different methods as follows.
Given Input numbers are 130, 180, 717, 497
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
GCD of numbers is the greatest common divisor
So, the GCD (130, 180, 717, 497) = 1.
Given numbers are 130, 180, 717, 497
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 717 are 3 x 239
Prime factors of 497 are 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 180, 717, 497
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 180) = 2340
GCD(130, 180) = ( 130 x 180 ) / 2340
= 130 / 180
= 130
Step2:
LCM(10, 717) = 7170
GCD(10, 717) = ( 10 x 717 ) / 7170
= 10 / 717
= 10
Step3:
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
= 1 / 497
= 1
So, Greatest Common Divisor of 130, 180, 717, 497 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 180, 717, 497
The greatest common divisor of numbers 130, 180, 717, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 180, 717, 497 is 1.
1. What is the GCD of 130, 180, 717, 497?
GCD of given numbers 130, 180, 717, 497 is 1
2. How to calculate the greatest common divisor of 130, 180, 717, 497?
We can find the highest common divisor of 130, 180, 717, 497 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, 180, 717, 497 i.e 1.
3. How can I use the GCD of 130, 180, 717, 497Calculator?
Out the numbers 130, 180, 717, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.