Online GCD Calculator is useful to find the GCD of 394, 234, 324, 132 quickly. Get the easiest ways to solve the greatest common divisor of 394, 234, 324, 132 i.e 2 in different methods as follows.
Given Input numbers are 394, 234, 324, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (394, 234, 324, 132) = 2.
Given numbers are 394, 234, 324, 132
The list of prime factors of all numbers are
Prime factors of 394 are 2 x 197
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 394, 234, 324, 132 is 2.
Given numbers are 394, 234, 324, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(394, 234) = 46098
GCD(394, 234) = ( 394 x 234 ) / 46098
= 394 / 234
= 394
Step2:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 394, 234, 324, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 394, 234, 324, 132
The greatest common divisor of numbers 394, 234, 324, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 234, 324, 132 is 2.
1. What is the GCD of 394, 234, 324, 132?
GCD of given numbers 394, 234, 324, 132 is 2
2. How to calculate the greatest common divisor of 394, 234, 324, 132?
We can find the highest common divisor of 394, 234, 324, 132 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 394, 234, 324, 132 i.e 2.
3. How can I use the GCD of 394, 234, 324, 132Calculator?
Out the numbers 394, 234, 324, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.