Online GCD Calculator is useful to find the GCD of 123, 243, 468, 390 quickly. Get the easiest ways to solve the greatest common divisor of 123, 243, 468, 390 i.e 3 in different methods as follows.
Given Input numbers are 123, 243, 468, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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 (123, 243, 468, 390) = 3.
Given numbers are 123, 243, 468, 390
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 123, 243, 468, 390 is 3.
Given numbers are 123, 243, 468, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 243) = 9963
GCD(123, 243) = ( 123 x 243 ) / 9963
= 123 / 243
= 123
Step2:
LCM(3, 468) = 468
GCD(3, 468) = ( 3 x 468 ) / 468
= 3 / 468
= 3
Step3:
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
= 3 / 390
= 3
So, Greatest Common Divisor of 123, 243, 468, 390 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 243, 468, 390
The greatest common divisor of numbers 123, 243, 468, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 243, 468, 390 is 3.
1. What is the GCD of 123, 243, 468, 390?
GCD of given numbers 123, 243, 468, 390 is 3
2. How to calculate the greatest common divisor of 123, 243, 468, 390?
We can find the highest common divisor of 123, 243, 468, 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 123, 243, 468, 390 i.e 3.
3. How can I use the GCD of 123, 243, 468, 390Calculator?
Out the numbers 123, 243, 468, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.