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GCD of 384, 327, 261, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 384, 327, 261, 159 quickly. Get the easiest ways to solve the greatest common divisor of 384, 327, 261, 159 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 384, 327, 261, 159 with Factoring?

Given Input numbers are 384, 327, 261, 159

In the factoring method, we have to find the divisors of all numbers

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (384, 327, 261, 159) = 3.

Find GCD of 384, 327, 261, 159 using Prime Factorization

Given numbers are 384, 327, 261, 159

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 327 are 3 x 109

Prime factors of 261 are 3 x 3 x 29

Prime factors of 159 are 3 x 53

The highest common occurrence is 31

Therefore, GCD of 384, 327, 261, 159 is 3.

Steps to Calculate GCD of 384, 327, 261, 159 using LCM Formula

Given numbers are 384, 327, 261, 159

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(384, 327) = 41856

GCD(384, 327) = ( 384 x 327 ) / 41856

= 384 / 327

= 384


Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3


Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3


So, Greatest Common Divisor of 384, 327, 261, 159 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 384, 327, 261, 159

Given numbers are 384, 327, 261, 159
The greatest common divisor of numbers 384, 327, 261, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 327, 261, 159 is 3.

FAQs on GCD of 384, 327, 261, 159 Calculator

1. What is the GCD of 384, 327, 261, 159?

GCD of given numbers 384, 327, 261, 159 is 3


2. How to calculate the greatest common divisor of 384, 327, 261, 159?

We can find the highest common divisor of 384, 327, 261, 159 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 384, 327, 261, 159 i.e 3.


3. How can I use the GCD of 384, 327, 261, 159Calculator?

Out the numbers 384, 327, 261, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.