Online GCD Calculator is useful to find the GCD of 450, 999, 705, 393 quickly. Get the easiest ways to solve the greatest common divisor of 450, 999, 705, 393 i.e 3 in different methods as follows.
Given Input numbers are 450, 999, 705, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 999 :
The positive integer divisors of 999 that completely divides 999 are.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
GCD of numbers is the greatest common divisor
So, the GCD (450, 999, 705, 393) = 3.
Given numbers are 450, 999, 705, 393
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 999 are 3 x 3 x 3 x 37
Prime factors of 705 are 3 x 5 x 47
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 450, 999, 705, 393 is 3.
Given numbers are 450, 999, 705, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 999) = 49950
GCD(450, 999) = ( 450 x 999 ) / 49950
= 450 / 999
= 450
Step2:
LCM(9, 705) = 2115
GCD(9, 705) = ( 9 x 705 ) / 2115
= 9 / 705
= 9
Step3:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
So, Greatest Common Divisor of 450, 999, 705, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 999, 705, 393
The greatest common divisor of numbers 450, 999, 705, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 999, 705, 393 is 3.
1. What is the GCD of 450, 999, 705, 393?
GCD of given numbers 450, 999, 705, 393 is 3
2. How to calculate the greatest common divisor of 450, 999, 705, 393?
We can find the highest common divisor of 450, 999, 705, 393 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 450, 999, 705, 393 i.e 3.
3. How can I use the GCD of 450, 999, 705, 393Calculator?
Out the numbers 450, 999, 705, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.