Online GCD Calculator is useful to find the GCD of 123, 303, 324, 168 quickly. Get the easiest ways to solve the greatest common divisor of 123, 303, 324, 168 i.e 3 in different methods as follows.
Given Input numbers are 123, 303, 324, 168
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (123, 303, 324, 168) = 3.
Given numbers are 123, 303, 324, 168
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 303 are 3 x 101
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 123, 303, 324, 168 is 3.
Given numbers are 123, 303, 324, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 303) = 12423
GCD(123, 303) = ( 123 x 303 ) / 12423
= 123 / 303
= 123
Step2:
LCM(3, 324) = 324
GCD(3, 324) = ( 3 x 324 ) / 324
= 3 / 324
= 3
Step3:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
So, Greatest Common Divisor of 123, 303, 324, 168 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 303, 324, 168
The greatest common divisor of numbers 123, 303, 324, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 303, 324, 168 is 3.
1. What is the GCD of 123, 303, 324, 168?
GCD of given numbers 123, 303, 324, 168 is 3
2. How to calculate the greatest common divisor of 123, 303, 324, 168?
We can find the highest common divisor of 123, 303, 324, 168 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, 303, 324, 168 i.e 3.
3. How can I use the GCD of 123, 303, 324, 168Calculator?
Out the numbers 123, 303, 324, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.