Online GCD Calculator is useful to find the GCD of 518, 560, 682, 135 quickly. Get the easiest ways to solve the greatest common divisor of 518, 560, 682, 135 i.e 1 in different methods as follows.
Given Input numbers are 518, 560, 682, 135
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 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (518, 560, 682, 135) = 1.
Given numbers are 518, 560, 682, 135
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 682 are 2 x 11 x 31
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 518, 560, 682, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 560) = 20720
GCD(518, 560) = ( 518 x 560 ) / 20720
= 518 / 560
= 518
Step2:
LCM(14, 682) = 4774
GCD(14, 682) = ( 14 x 682 ) / 4774
= 14 / 682
= 14
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 518, 560, 682, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 560, 682, 135
The greatest common divisor of numbers 518, 560, 682, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 560, 682, 135 is 1.
1. What is the GCD of 518, 560, 682, 135?
GCD of given numbers 518, 560, 682, 135 is 1
2. How to calculate the greatest common divisor of 518, 560, 682, 135?
We can find the highest common divisor of 518, 560, 682, 135 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, 560, 682, 135 i.e 1.
3. How can I use the GCD of 518, 560, 682, 135Calculator?
Out the numbers 518, 560, 682, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.