Online GCD Calculator is useful to find the GCD of 128, 500, 510, 720 quickly. Get the easiest ways to solve the greatest common divisor of 128, 500, 510, 720 i.e 2 in different methods as follows.
Given Input numbers are 128, 500, 510, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
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 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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
GCD of numbers is the greatest common divisor
So, the GCD (128, 500, 510, 720) = 2.
Given numbers are 128, 500, 510, 720
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 128, 500, 510, 720 is 2.
Given numbers are 128, 500, 510, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 500) = 16000
GCD(128, 500) = ( 128 x 500 ) / 16000
= 128 / 500
= 128
Step2:
LCM(4, 510) = 1020
GCD(4, 510) = ( 4 x 510 ) / 1020
= 4 / 510
= 4
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 128, 500, 510, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 500, 510, 720
The greatest common divisor of numbers 128, 500, 510, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 500, 510, 720 is 2.
1. What is the GCD of 128, 500, 510, 720?
GCD of given numbers 128, 500, 510, 720 is 2
2. How to calculate the greatest common divisor of 128, 500, 510, 720?
We can find the highest common divisor of 128, 500, 510, 720 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 128, 500, 510, 720 i.e 2.
3. How can I use the GCD of 128, 500, 510, 720Calculator?
Out the numbers 128, 500, 510, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.