Online GCD Calculator is useful to find the GCD of 222, 333, 390 quickly. Get the easiest ways to solve the greatest common divisor of 222, 333, 390 i.e 3 in different methods as follows.
Given Input numbers are 222, 333, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (222, 333, 390) = 3.
Given numbers are 222, 333, 390
The list of prime factors of all numbers are
Prime factors of 222 are 2 x 3 x 37
Prime factors of 333 are 3 x 3 x 37
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 222, 333, 390 is 3.
Given numbers are 222, 333, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(222, 333) = 666
GCD(222, 333) = ( 222 x 333 ) / 666
= 222 / 333
= 222
Step2:
LCM(111, 390) = 14430
GCD(111, 390) = ( 111 x 390 ) / 14430
= 111 / 390
= 111
So, Greatest Common Divisor of 222, 333, 390 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 222, 333, 390
The greatest common divisor of numbers 222, 333, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 333, 390 is 3.
1. What is the GCD of 222, 333, 390?
GCD of given numbers 222, 333, 390 is 3
2. How to calculate the greatest common divisor of 222, 333, 390?
We can find the highest common divisor of 222, 333, 390 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 222, 333, 390 i.e 3.
3. How can I use the GCD of 222, 333, 390Calculator?
Out the numbers 222, 333, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.