Online GCD Calculator is useful to find the GCD of 720, 175, 518, 986 quickly. Get the easiest ways to solve the greatest common divisor of 720, 175, 518, 986 i.e 1 in different methods as follows.
Given Input numbers are 720, 175, 518, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (720, 175, 518, 986) = 1.
Given numbers are 720, 175, 518, 986
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 175 are 5 x 5 x 7
Prime factors of 518 are 2 x 7 x 37
Prime factors of 986 are 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 175, 518, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 175) = 25200
GCD(720, 175) = ( 720 x 175 ) / 25200
= 720 / 175
= 720
Step2:
LCM(5, 518) = 2590
GCD(5, 518) = ( 5 x 518 ) / 2590
= 5 / 518
= 5
Step3:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
So, Greatest Common Divisor of 720, 175, 518, 986 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 175, 518, 986
The greatest common divisor of numbers 720, 175, 518, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 175, 518, 986 is 1.
1. What is the GCD of 720, 175, 518, 986?
GCD of given numbers 720, 175, 518, 986 is 1
2. How to calculate the greatest common divisor of 720, 175, 518, 986?
We can find the highest common divisor of 720, 175, 518, 986 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 720, 175, 518, 986 i.e 1.
3. How can I use the GCD of 720, 175, 518, 986Calculator?
Out the numbers 720, 175, 518, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.