Online GCD Calculator is useful to find the GCD of 396, 814, 396, 174 quickly. Get the easiest ways to solve the greatest common divisor of 396, 814, 396, 174 i.e 2 in different methods as follows.
Given Input numbers are 396, 814, 396, 174
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
GCD of numbers is the greatest common divisor
So, the GCD (396, 814, 396, 174) = 2.
Given numbers are 396, 814, 396, 174
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 814 are 2 x 11 x 37
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 174 are 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 396, 814, 396, 174 is 2.
Given numbers are 396, 814, 396, 174
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 814) = 14652
GCD(396, 814) = ( 396 x 814 ) / 14652
= 396 / 814
= 396
Step2:
LCM(22, 396) = 396
GCD(22, 396) = ( 22 x 396 ) / 396
= 22 / 396
= 22
Step3:
LCM(22, 174) = 1914
GCD(22, 174) = ( 22 x 174 ) / 1914
= 22 / 174
= 22
So, Greatest Common Divisor of 396, 814, 396, 174 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 814, 396, 174
The greatest common divisor of numbers 396, 814, 396, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 814, 396, 174 is 2.
1. What is the GCD of 396, 814, 396, 174?
GCD of given numbers 396, 814, 396, 174 is 2
2. How to calculate the greatest common divisor of 396, 814, 396, 174?
We can find the highest common divisor of 396, 814, 396, 174 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 396, 814, 396, 174 i.e 2.
3. How can I use the GCD of 396, 814, 396, 174Calculator?
Out the numbers 396, 814, 396, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.