Online GCD Calculator is useful to find the GCD of 243, 360, 333, 493 quickly. Get the easiest ways to solve the greatest common divisor of 243, 360, 333, 493 i.e 1 in different methods as follows.
Given Input numbers are 243, 360, 333, 493
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (243, 360, 333, 493) = 1.
Given numbers are 243, 360, 333, 493
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 333 are 3 x 3 x 37
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 243, 360, 333, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 360) = 9720
GCD(243, 360) = ( 243 x 360 ) / 9720
= 243 / 360
= 243
Step2:
LCM(9, 333) = 333
GCD(9, 333) = ( 9 x 333 ) / 333
= 9 / 333
= 9
Step3:
LCM(9, 493) = 4437
GCD(9, 493) = ( 9 x 493 ) / 4437
= 9 / 493
= 9
So, Greatest Common Divisor of 243, 360, 333, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 360, 333, 493
The greatest common divisor of numbers 243, 360, 333, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 360, 333, 493 is 1.
1. What is the GCD of 243, 360, 333, 493?
GCD of given numbers 243, 360, 333, 493 is 1
2. How to calculate the greatest common divisor of 243, 360, 333, 493?
We can find the highest common divisor of 243, 360, 333, 493 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 243, 360, 333, 493 i.e 1.
3. How can I use the GCD of 243, 360, 333, 493Calculator?
Out the numbers 243, 360, 333, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.