Online GCD Calculator is useful to find the GCD of 998, 518, 580, 689 quickly. Get the easiest ways to solve the greatest common divisor of 998, 518, 580, 689 i.e 1 in different methods as follows.
Given Input numbers are 998, 518, 580, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (998, 518, 580, 689) = 1.
Given numbers are 998, 518, 580, 689
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 518 are 2 x 7 x 37
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 518, 580, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 518) = 258482
GCD(998, 518) = ( 998 x 518 ) / 258482
= 998 / 518
= 998
Step2:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
Step3:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
So, Greatest Common Divisor of 998, 518, 580, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 518, 580, 689
The greatest common divisor of numbers 998, 518, 580, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 518, 580, 689 is 1.
1. What is the GCD of 998, 518, 580, 689?
GCD of given numbers 998, 518, 580, 689 is 1
2. How to calculate the greatest common divisor of 998, 518, 580, 689?
We can find the highest common divisor of 998, 518, 580, 689 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 998, 518, 580, 689 i.e 1.
3. How can I use the GCD of 998, 518, 580, 689Calculator?
Out the numbers 998, 518, 580, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.