Online GCD Calculator is useful to find the GCD of 720, 243, 792 quickly. Get the easiest ways to solve the greatest common divisor of 720, 243, 792 i.e 9 in different methods as follows.
Given Input numbers are 720, 243, 792
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 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (720, 243, 792) = 9.
Given numbers are 720, 243, 792
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 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 32
Therefore, GCD of 720, 243, 792 is 9.
Given numbers are 720, 243, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 243) = 19440
GCD(720, 243) = ( 720 x 243 ) / 19440
= 720 / 243
= 720
Step2:
LCM(9, 792) = 792
GCD(9, 792) = ( 9 x 792 ) / 792
= 9 / 792
= 9
So, Greatest Common Divisor of 720, 243, 792 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 243, 792
The greatest common divisor of numbers 720, 243, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 243, 792 is 9.
1. What is the GCD of 720, 243, 792?
GCD of given numbers 720, 243, 792 is 9
2. How to calculate the greatest common divisor of 720, 243, 792?
We can find the highest common divisor of 720, 243, 792 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, 243, 792 i.e 9.
3. How can I use the GCD of 720, 243, 792Calculator?
Out the numbers 720, 243, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.