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GCD of 492, 681, 189, 327 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 681, 189, 327 quickly. Get the easiest ways to solve the greatest common divisor of 492, 681, 189, 327 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 681, 189, 327 with Factoring?

Given Input numbers are 492, 681, 189, 327

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 327 :

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

1, 3, 109, 327


GCD of numbers is the greatest common divisor

So, the GCD (492, 681, 189, 327) = 3.

Find GCD of 492, 681, 189, 327 using Prime Factorization

Given numbers are 492, 681, 189, 327

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 681 are 3 x 227

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 327 are 3 x 109

The highest common occurrence is 31

Therefore, GCD of 492, 681, 189, 327 is 3.

Steps to Calculate GCD of 492, 681, 189, 327 using LCM Formula

Given numbers are 492, 681, 189, 327

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

Apply this formula for all numbers.

Step1:

LCM(492, 681) = 111684

GCD(492, 681) = ( 492 x 681 ) / 111684

= 492 / 681

= 492


Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3


Step3:

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

= 3 / 327

= 3


So, Greatest Common Divisor of 492, 681, 189, 327 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 681, 189, 327

Given numbers are 492, 681, 189, 327
The greatest common divisor of numbers 492, 681, 189, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 681, 189, 327 is 3.

FAQs on GCD of 492, 681, 189, 327 Calculator

1. What is the GCD of 492, 681, 189, 327?

GCD of given numbers 492, 681, 189, 327 is 3


2. How to calculate the greatest common divisor of 492, 681, 189, 327?

We can find the highest common divisor of 492, 681, 189, 327 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 492, 681, 189, 327 i.e 3.


3. How can I use the GCD of 492, 681, 189, 327Calculator?

Out the numbers 492, 681, 189, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.