Online GCD Calculator is useful to find the GCD of 520, 512, 120, 720 quickly. Get the easiest ways to solve the greatest common divisor of 520, 512, 120, 720 i.e 8 in different methods as follows.
Given Input numbers are 520, 512, 120, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (520, 512, 120, 720) = 8.
Given numbers are 520, 512, 120, 720
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 23
Therefore, GCD of 520, 512, 120, 720 is 8.
Given numbers are 520, 512, 120, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 512) = 33280
GCD(520, 512) = ( 520 x 512 ) / 33280
= 520 / 512
= 520
Step2:
LCM(8, 120) = 120
GCD(8, 120) = ( 8 x 120 ) / 120
= 8 / 120
= 8
Step3:
LCM(8, 720) = 720
GCD(8, 720) = ( 8 x 720 ) / 720
= 8 / 720
= 8
So, Greatest Common Divisor of 520, 512, 120, 720 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 512, 120, 720
The greatest common divisor of numbers 520, 512, 120, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 512, 120, 720 is 8.
1. What is the GCD of 520, 512, 120, 720?
GCD of given numbers 520, 512, 120, 720 is 8
2. How to calculate the greatest common divisor of 520, 512, 120, 720?
We can find the highest common divisor of 520, 512, 120, 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 520, 512, 120, 720 i.e 8.
3. How can I use the GCD of 520, 512, 120, 720Calculator?
Out the numbers 520, 512, 120, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.