Online GCD Calculator is useful to find the GCD of 333, 120, 724, 180 quickly. Get the easiest ways to solve the greatest common divisor of 333, 120, 724, 180 i.e 1 in different methods as follows.
Given Input numbers are 333, 120, 724, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (333, 120, 724, 180) = 1.
Given numbers are 333, 120, 724, 180
The list of prime factors of all numbers are
Prime factors of 333 are 3 x 3 x 37
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 724 are 2 x 2 x 181
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 333, 120, 724, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(333, 120) = 13320
GCD(333, 120) = ( 333 x 120 ) / 13320
= 333 / 120
= 333
Step2:
LCM(3, 724) = 2172
GCD(3, 724) = ( 3 x 724 ) / 2172
= 3 / 724
= 3
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 333, 120, 724, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 333, 120, 724, 180
The greatest common divisor of numbers 333, 120, 724, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 120, 724, 180 is 1.
1. What is the GCD of 333, 120, 724, 180?
GCD of given numbers 333, 120, 724, 180 is 1
2. How to calculate the greatest common divisor of 333, 120, 724, 180?
We can find the highest common divisor of 333, 120, 724, 180 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 333, 120, 724, 180 i.e 1.
3. How can I use the GCD of 333, 120, 724, 180Calculator?
Out the numbers 333, 120, 724, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.