Online GCD Calculator is useful to find the GCD of 345, 174, 804 quickly. Get the easiest ways to solve the greatest common divisor of 345, 174, 804 i.e 3 in different methods as follows.
Given Input numbers are 345, 174, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
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
GCD of numbers is the greatest common divisor
So, the GCD (345, 174, 804) = 3.
Given numbers are 345, 174, 804
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 174 are 2 x 3 x 29
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 345, 174, 804 is 3.
Given numbers are 345, 174, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 174) = 20010
GCD(345, 174) = ( 345 x 174 ) / 20010
= 345 / 174
= 345
Step2:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
So, Greatest Common Divisor of 345, 174, 804 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 174, 804
The greatest common divisor of numbers 345, 174, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 174, 804 is 3.
1. What is the GCD of 345, 174, 804?
GCD of given numbers 345, 174, 804 is 3
2. How to calculate the greatest common divisor of 345, 174, 804?
We can find the highest common divisor of 345, 174, 804 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 345, 174, 804 i.e 3.
3. How can I use the GCD of 345, 174, 804Calculator?
Out the numbers 345, 174, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.