Online GCD Calculator is useful to find the GCD of 130, 715, 495, 810 quickly. Get the easiest ways to solve the greatest common divisor of 130, 715, 495, 810 i.e 5 in different methods as follows.
Given Input numbers are 130, 715, 495, 810
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 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
GCD of numbers is the greatest common divisor
So, the GCD (130, 715, 495, 810) = 5.
Given numbers are 130, 715, 495, 810
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 715 are 5 x 11 x 13
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 130, 715, 495, 810 is 5.
Given numbers are 130, 715, 495, 810
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 715) = 1430
GCD(130, 715) = ( 130 x 715 ) / 1430
= 130 / 715
= 130
Step2:
LCM(65, 495) = 6435
GCD(65, 495) = ( 65 x 495 ) / 6435
= 65 / 495
= 65
Step3:
LCM(5, 810) = 810
GCD(5, 810) = ( 5 x 810 ) / 810
= 5 / 810
= 5
So, Greatest Common Divisor of 130, 715, 495, 810 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 715, 495, 810
The greatest common divisor of numbers 130, 715, 495, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 715, 495, 810 is 5.
1. What is the GCD of 130, 715, 495, 810?
GCD of given numbers 130, 715, 495, 810 is 5
2. How to calculate the greatest common divisor of 130, 715, 495, 810?
We can find the highest common divisor of 130, 715, 495, 810 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, 715, 495, 810 i.e 5.
3. How can I use the GCD of 130, 715, 495, 810Calculator?
Out the numbers 130, 715, 495, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.