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GCD of 688, 332, 324 Calculator

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


Online GCD Calculator is useful to find the GCD of 688, 332, 324 quickly. Get the easiest ways to solve the greatest common divisor of 688, 332, 324 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 688, 332, 324 with Factoring?

Given Input numbers are 688, 332, 324

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

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


GCD of numbers is the greatest common divisor

So, the GCD (688, 332, 324) = 4.

Find GCD of 688, 332, 324 using Prime Factorization

Given numbers are 688, 332, 324

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 332 are 2 x 2 x 83

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

The highest common occurrence is 22

Therefore, GCD of 688, 332, 324 is 4.

Steps to Calculate GCD of 688, 332, 324 using LCM Formula

Given numbers are 688, 332, 324

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

Apply this formula for all numbers.

Step1:

LCM(688, 332) = 57104

GCD(688, 332) = ( 688 x 332 ) / 57104

= 688 / 332

= 688


Step2:

LCM(4, 324) = 324

GCD(4, 324) = ( 4 x 324 ) / 324

= 4 / 324

= 4


So, Greatest Common Divisor of 688, 332, 324 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 688, 332, 324

Given numbers are 688, 332, 324
The greatest common divisor of numbers 688, 332, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 332, 324 is 4.

FAQs on GCD of 688, 332, 324 Calculator

1. What is the GCD of 688, 332, 324?

GCD of given numbers 688, 332, 324 is 4


2. How to calculate the greatest common divisor of 688, 332, 324?

We can find the highest common divisor of 688, 332, 324 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 688, 332, 324 i.e 4.


3. How can I use the GCD of 688, 332, 324Calculator?

Out the numbers 688, 332, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.