Online GCD Calculator is useful to find the GCD of 500, 518, 361, 614 quickly. Get the easiest ways to solve the greatest common divisor of 500, 518, 361, 614 i.e 1 in different methods as follows.
Given Input numbers are 500, 518, 361, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (500, 518, 361, 614) = 1.
Given numbers are 500, 518, 361, 614
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 518 are 2 x 7 x 37
Prime factors of 361 are 19 x 19
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 518, 361, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 518) = 129500
GCD(500, 518) = ( 500 x 518 ) / 129500
= 500 / 518
= 500
Step2:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
Step3:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
So, Greatest Common Divisor of 500, 518, 361, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 518, 361, 614
The greatest common divisor of numbers 500, 518, 361, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 518, 361, 614 is 1.
1. What is the GCD of 500, 518, 361, 614?
GCD of given numbers 500, 518, 361, 614 is 1
2. How to calculate the greatest common divisor of 500, 518, 361, 614?
We can find the highest common divisor of 500, 518, 361, 614 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 500, 518, 361, 614 i.e 1.
3. How can I use the GCD of 500, 518, 361, 614Calculator?
Out the numbers 500, 518, 361, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.