Online GCD Calculator is useful to find the GCD of 327, 108, 597, 342 quickly. Get the easiest ways to solve the greatest common divisor of 327, 108, 597, 342 i.e 3 in different methods as follows.
Given Input numbers are 327, 108, 597, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (327, 108, 597, 342) = 3.
Given numbers are 327, 108, 597, 342
The list of prime factors of all numbers are
Prime factors of 327 are 3 x 109
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 597 are 3 x 199
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 327, 108, 597, 342 is 3.
Given numbers are 327, 108, 597, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(327, 108) = 11772
GCD(327, 108) = ( 327 x 108 ) / 11772
= 327 / 108
= 327
Step2:
LCM(3, 597) = 597
GCD(3, 597) = ( 3 x 597 ) / 597
= 3 / 597
= 3
Step3:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 327, 108, 597, 342 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 327, 108, 597, 342
The greatest common divisor of numbers 327, 108, 597, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 108, 597, 342 is 3.
1. What is the GCD of 327, 108, 597, 342?
GCD of given numbers 327, 108, 597, 342 is 3
2. How to calculate the greatest common divisor of 327, 108, 597, 342?
We can find the highest common divisor of 327, 108, 597, 342 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 327, 108, 597, 342 i.e 3.
3. How can I use the GCD of 327, 108, 597, 342Calculator?
Out the numbers 327, 108, 597, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.