Online GCD Calculator is useful to find the GCD of 130, 816, 507, 510 quickly. Get the easiest ways to solve the greatest common divisor of 130, 816, 507, 510 i.e 1 in different methods as follows.
Given Input numbers are 130, 816, 507, 510
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 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
GCD of numbers is the greatest common divisor
So, the GCD (130, 816, 507, 510) = 1.
Given numbers are 130, 816, 507, 510
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 507 are 3 x 13 x 13
Prime factors of 510 are 2 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 816, 507, 510
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 816) = 53040
GCD(130, 816) = ( 130 x 816 ) / 53040
= 130 / 816
= 130
Step2:
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
= 2 / 507
= 2
Step3:
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
= 1 / 510
= 1
So, Greatest Common Divisor of 130, 816, 507, 510 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 816, 507, 510
The greatest common divisor of numbers 130, 816, 507, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 816, 507, 510 is 1.
1. What is the GCD of 130, 816, 507, 510?
GCD of given numbers 130, 816, 507, 510 is 1
2. How to calculate the greatest common divisor of 130, 816, 507, 510?
We can find the highest common divisor of 130, 816, 507, 510 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, 816, 507, 510 i.e 1.
3. How can I use the GCD of 130, 816, 507, 510Calculator?
Out the numbers 130, 816, 507, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.