Online GCD Calculator is useful to find the GCD of 720, 518, 956, 686 quickly. Get the easiest ways to solve the greatest common divisor of 720, 518, 956, 686 i.e 2 in different methods as follows.
Given Input numbers are 720, 518, 956, 686
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 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (720, 518, 956, 686) = 2.
Given numbers are 720, 518, 956, 686
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 518 are 2 x 7 x 37
Prime factors of 956 are 2 x 2 x 239
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 720, 518, 956, 686 is 2.
Given numbers are 720, 518, 956, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 518) = 186480
GCD(720, 518) = ( 720 x 518 ) / 186480
= 720 / 518
= 720
Step2:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
Step3:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 720, 518, 956, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 518, 956, 686
The greatest common divisor of numbers 720, 518, 956, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 518, 956, 686 is 2.
1. What is the GCD of 720, 518, 956, 686?
GCD of given numbers 720, 518, 956, 686 is 2
2. How to calculate the greatest common divisor of 720, 518, 956, 686?
We can find the highest common divisor of 720, 518, 956, 686 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, 518, 956, 686 i.e 2.
3. How can I use the GCD of 720, 518, 956, 686Calculator?
Out the numbers 720, 518, 956, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.