Online GCD Calculator is useful to find the GCD of 366, 732, 123, 303 quickly. Get the easiest ways to solve the greatest common divisor of 366, 732, 123, 303 i.e 3 in different methods as follows.
Given Input numbers are 366, 732, 123, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (366, 732, 123, 303) = 3.
Given numbers are 366, 732, 123, 303
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 123 are 3 x 41
Prime factors of 303 are 3 x 101
The highest common occurrence is 31
Therefore, GCD of 366, 732, 123, 303 is 3.
Given numbers are 366, 732, 123, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 732) = 732
GCD(366, 732) = ( 366 x 732 ) / 732
= 366 / 732
= 366
Step2:
LCM(366, 123) = 15006
GCD(366, 123) = ( 366 x 123 ) / 15006
= 366 / 123
= 366
Step3:
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
= 3 / 303
= 3
So, Greatest Common Divisor of 366, 732, 123, 303 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 732, 123, 303
The greatest common divisor of numbers 366, 732, 123, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 732, 123, 303 is 3.
1. What is the GCD of 366, 732, 123, 303?
GCD of given numbers 366, 732, 123, 303 is 3
2. How to calculate the greatest common divisor of 366, 732, 123, 303?
We can find the highest common divisor of 366, 732, 123, 303 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 366, 732, 123, 303 i.e 3.
3. How can I use the GCD of 366, 732, 123, 303Calculator?
Out the numbers 366, 732, 123, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.