Online GCD Calculator is useful to find the GCD of 324, 162, 774 quickly. Get the easiest ways to solve the greatest common divisor of 324, 162, 774 i.e 18 in different methods as follows.
Given Input numbers are 324, 162, 774
In the factoring method, we have to find the divisors of all numbers
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
GCD of numbers is the greatest common divisor
So, the GCD (324, 162, 774) = 18.
Given numbers are 324, 162, 774
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 774 are 2 x 3 x 3 x 43
The highest common occurrence is 21 x 32
Therefore, GCD of 324, 162, 774 is 18.
Given numbers are 324, 162, 774
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 162) = 324
GCD(324, 162) = ( 324 x 162 ) / 324
= 324 / 162
= 324
Step2:
LCM(162, 774) = 6966
GCD(162, 774) = ( 162 x 774 ) / 6966
= 162 / 774
= 162
So, Greatest Common Divisor of 324, 162, 774 is 18
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 162, 774
The greatest common divisor of numbers 324, 162, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 162, 774 is 18.
1. What is the GCD of 324, 162, 774?
GCD of given numbers 324, 162, 774 is 18
2. How to calculate the greatest common divisor of 324, 162, 774?
We can find the highest common divisor of 324, 162, 774 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 324, 162, 774 i.e 18.
3. How can I use the GCD of 324, 162, 774Calculator?
Out the numbers 324, 162, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.