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GCD of 324, 116, 474, 488 Calculator

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


Online GCD Calculator is useful to find the GCD of 324, 116, 474, 488 quickly. Get the easiest ways to solve the greatest common divisor of 324, 116, 474, 488 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 324, 116, 474, 488 with Factoring?

Given Input numbers are 324, 116, 474, 488

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

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (324, 116, 474, 488) = 2.

Find GCD of 324, 116, 474, 488 using Prime Factorization

Given numbers are 324, 116, 474, 488

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 116 are 2 x 2 x 29

Prime factors of 474 are 2 x 3 x 79

Prime factors of 488 are 2 x 2 x 2 x 61

The highest common occurrence is 21

Therefore, GCD of 324, 116, 474, 488 is 2.

Steps to Calculate GCD of 324, 116, 474, 488 using LCM Formula

Given numbers are 324, 116, 474, 488

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

Apply this formula for all numbers.

Step1:

LCM(324, 116) = 9396

GCD(324, 116) = ( 324 x 116 ) / 9396

= 324 / 116

= 324


Step2:

LCM(4, 474) = 948

GCD(4, 474) = ( 4 x 474 ) / 948

= 4 / 474

= 4


Step3:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2


So, Greatest Common Divisor of 324, 116, 474, 488 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 324, 116, 474, 488

Given numbers are 324, 116, 474, 488
The greatest common divisor of numbers 324, 116, 474, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 116, 474, 488 is 2.

FAQs on GCD of 324, 116, 474, 488 Calculator

1. What is the GCD of 324, 116, 474, 488?

GCD of given numbers 324, 116, 474, 488 is 2


2. How to calculate the greatest common divisor of 324, 116, 474, 488?

We can find the highest common divisor of 324, 116, 474, 488 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 324, 116, 474, 488 i.e 2.


3. How can I use the GCD of 324, 116, 474, 488Calculator?

Out the numbers 324, 116, 474, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.