Online GCD Calculator is useful to find the GCD of 322, 234, 376, 324 quickly. Get the easiest ways to solve the greatest common divisor of 322, 234, 376, 324 i.e 2 in different methods as follows.
Given Input numbers are 322, 234, 376, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
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
GCD of numbers is the greatest common divisor
So, the GCD (322, 234, 376, 324) = 2.
Given numbers are 322, 234, 376, 324
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 322, 234, 376, 324 is 2.
Given numbers are 322, 234, 376, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 234) = 37674
GCD(322, 234) = ( 322 x 234 ) / 37674
= 322 / 234
= 322
Step2:
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
= 2 / 376
= 2
Step3:
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
= 2 / 324
= 2
So, Greatest Common Divisor of 322, 234, 376, 324 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 234, 376, 324
The greatest common divisor of numbers 322, 234, 376, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 234, 376, 324 is 2.
1. What is the GCD of 322, 234, 376, 324?
GCD of given numbers 322, 234, 376, 324 is 2
2. How to calculate the greatest common divisor of 322, 234, 376, 324?
We can find the highest common divisor of 322, 234, 376, 324 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 322, 234, 376, 324 i.e 2.
3. How can I use the GCD of 322, 234, 376, 324Calculator?
Out the numbers 322, 234, 376, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.