Online GCD Calculator is useful to find the GCD of 120, 723, 372 quickly. Get the easiest ways to solve the greatest common divisor of 120, 723, 372 i.e 3 in different methods as follows.
Given Input numbers are 120, 723, 372
In the factoring method, we have to find the divisors of all numbers
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (120, 723, 372) = 3.
Given numbers are 120, 723, 372
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 723 are 3 x 241
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 120, 723, 372 is 3.
Given numbers are 120, 723, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 723) = 28920
GCD(120, 723) = ( 120 x 723 ) / 28920
= 120 / 723
= 120
Step2:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
So, Greatest Common Divisor of 120, 723, 372 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 723, 372
The greatest common divisor of numbers 120, 723, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 723, 372 is 3.
1. What is the GCD of 120, 723, 372?
GCD of given numbers 120, 723, 372 is 3
2. How to calculate the greatest common divisor of 120, 723, 372?
We can find the highest common divisor of 120, 723, 372 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 120, 723, 372 i.e 3.
3. How can I use the GCD of 120, 723, 372Calculator?
Out the numbers 120, 723, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.