Online GCD Calculator is useful to find the GCD of 720, 500, 568, 960 quickly. Get the easiest ways to solve the greatest common divisor of 720, 500, 568, 960 i.e 4 in different methods as follows.
Given Input numbers are 720, 500, 568, 960
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (720, 500, 568, 960) = 4.
Given numbers are 720, 500, 568, 960
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 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 720, 500, 568, 960 is 4.
Given numbers are 720, 500, 568, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 500) = 18000
GCD(720, 500) = ( 720 x 500 ) / 18000
= 720 / 500
= 720
Step2:
LCM(20, 568) = 2840
GCD(20, 568) = ( 20 x 568 ) / 2840
= 20 / 568
= 20
Step3:
LCM(4, 960) = 960
GCD(4, 960) = ( 4 x 960 ) / 960
= 4 / 960
= 4
So, Greatest Common Divisor of 720, 500, 568, 960 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 500, 568, 960
The greatest common divisor of numbers 720, 500, 568, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 500, 568, 960 is 4.
1. What is the GCD of 720, 500, 568, 960?
GCD of given numbers 720, 500, 568, 960 is 4
2. How to calculate the greatest common divisor of 720, 500, 568, 960?
We can find the highest common divisor of 720, 500, 568, 960 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, 500, 568, 960 i.e 4.
3. How can I use the GCD of 720, 500, 568, 960Calculator?
Out the numbers 720, 500, 568, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.