Online GCD Calculator is useful to find the GCD of 663, 327, 348, 375 quickly. Get the easiest ways to solve the greatest common divisor of 663, 327, 348, 375 i.e 3 in different methods as follows.
Given Input numbers are 663, 327, 348, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (663, 327, 348, 375) = 3.
Given numbers are 663, 327, 348, 375
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 327 are 3 x 109
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 663, 327, 348, 375 is 3.
Given numbers are 663, 327, 348, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 327) = 72267
GCD(663, 327) = ( 663 x 327 ) / 72267
= 663 / 327
= 663
Step2:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
Step3:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 663, 327, 348, 375 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 327, 348, 375
The greatest common divisor of numbers 663, 327, 348, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 327, 348, 375 is 3.
1. What is the GCD of 663, 327, 348, 375?
GCD of given numbers 663, 327, 348, 375 is 3
2. How to calculate the greatest common divisor of 663, 327, 348, 375?
We can find the highest common divisor of 663, 327, 348, 375 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 663, 327, 348, 375 i.e 3.
3. How can I use the GCD of 663, 327, 348, 375Calculator?
Out the numbers 663, 327, 348, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.