Online GCD Calculator is useful to find the GCD of 123, 918, 804, 375 quickly. Get the easiest ways to solve the greatest common divisor of 123, 918, 804, 375 i.e 3 in different methods as follows.
Given Input numbers are 123, 918, 804, 375
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 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (123, 918, 804, 375) = 3.
Given numbers are 123, 918, 804, 375
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 123, 918, 804, 375 is 3.
Given numbers are 123, 918, 804, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 918) = 37638
GCD(123, 918) = ( 123 x 918 ) / 37638
= 123 / 918
= 123
Step2:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
Step3:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 123, 918, 804, 375 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 918, 804, 375
The greatest common divisor of numbers 123, 918, 804, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 918, 804, 375 is 3.
1. What is the GCD of 123, 918, 804, 375?
GCD of given numbers 123, 918, 804, 375 is 3
2. How to calculate the greatest common divisor of 123, 918, 804, 375?
We can find the highest common divisor of 123, 918, 804, 375 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, 918, 804, 375 i.e 3.
3. How can I use the GCD of 123, 918, 804, 375Calculator?
Out the numbers 123, 918, 804, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.