Online GCD Calculator is useful to find the GCD of 804, 789, 168, 123 quickly. Get the easiest ways to solve the greatest common divisor of 804, 789, 168, 123 i.e 3 in different methods as follows.
Given Input numbers are 804, 789, 168, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
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
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (804, 789, 168, 123) = 3.
Given numbers are 804, 789, 168, 123
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 789 are 3 x 263
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 123 are 3 x 41
The highest common occurrence is 31
Therefore, GCD of 804, 789, 168, 123 is 3.
Given numbers are 804, 789, 168, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 789) = 211452
GCD(804, 789) = ( 804 x 789 ) / 211452
= 804 / 789
= 804
Step2:
LCM(3, 168) = 168
GCD(3, 168) = ( 3 x 168 ) / 168
= 3 / 168
= 3
Step3:
LCM(3, 123) = 123
GCD(3, 123) = ( 3 x 123 ) / 123
= 3 / 123
= 3
So, Greatest Common Divisor of 804, 789, 168, 123 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 789, 168, 123
The greatest common divisor of numbers 804, 789, 168, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 789, 168, 123 is 3.
1. What is the GCD of 804, 789, 168, 123?
GCD of given numbers 804, 789, 168, 123 is 3
2. How to calculate the greatest common divisor of 804, 789, 168, 123?
We can find the highest common divisor of 804, 789, 168, 123 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 804, 789, 168, 123 i.e 3.
3. How can I use the GCD of 804, 789, 168, 123Calculator?
Out the numbers 804, 789, 168, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.