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GCD of 663, 327, 348, 375 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 663, 327, 348, 375 with Factoring?

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.

Find GCD of 663, 327, 348, 375 using Prime Factorization

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.

Steps to Calculate GCD of 663, 327, 348, 375 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 327, 348, 375

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.

FAQs on GCD of 663, 327, 348, 375 Calculator

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.