Online GCD Calculator is useful to find the GCD of 816, 784, 720 quickly. Get the easiest ways to solve the greatest common divisor of 816, 784, 720 i.e 16 in different methods as follows.
Given Input numbers are 816, 784, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 (816, 784, 720) = 16.
Given numbers are 816, 784, 720
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 24
Therefore, GCD of 816, 784, 720 is 16.
Given numbers are 816, 784, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 784) = 39984
GCD(816, 784) = ( 816 x 784 ) / 39984
= 816 / 784
= 816
Step2:
LCM(16, 720) = 720
GCD(16, 720) = ( 16 x 720 ) / 720
= 16 / 720
= 16
So, Greatest Common Divisor of 816, 784, 720 is 16
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 784, 720
The greatest common divisor of numbers 816, 784, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 784, 720 is 16.
1. What is the GCD of 816, 784, 720?
GCD of given numbers 816, 784, 720 is 16
2. How to calculate the greatest common divisor of 816, 784, 720?
We can find the highest common divisor of 816, 784, 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 816, 784, 720 i.e 16.
3. How can I use the GCD of 816, 784, 720Calculator?
Out the numbers 816, 784, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.