Online GCD Calculator is useful to find the GCD of 518, 380, 905, 728 quickly. Get the easiest ways to solve the greatest common divisor of 518, 380, 905, 728 i.e 1 in different methods as follows.
Given Input numbers are 518, 380, 905, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (518, 380, 905, 728) = 1.
Given numbers are 518, 380, 905, 728
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 905 are 5 x 181
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 518, 380, 905, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 380) = 98420
GCD(518, 380) = ( 518 x 380 ) / 98420
= 518 / 380
= 518
Step2:
LCM(2, 905) = 1810
GCD(2, 905) = ( 2 x 905 ) / 1810
= 2 / 905
= 2
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 518, 380, 905, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 380, 905, 728
The greatest common divisor of numbers 518, 380, 905, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 380, 905, 728 is 1.
1. What is the GCD of 518, 380, 905, 728?
GCD of given numbers 518, 380, 905, 728 is 1
2. How to calculate the greatest common divisor of 518, 380, 905, 728?
We can find the highest common divisor of 518, 380, 905, 728 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 518, 380, 905, 728 i.e 1.
3. How can I use the GCD of 518, 380, 905, 728Calculator?
Out the numbers 518, 380, 905, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.