GCD of 492, 327, 726 Calculator

Given Input numbers are 492, 327, 726

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 492, 327, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 327, 726 is 3.

Therefore, GCD of numbers 492, 327, 726 is 3

Given Input Data is 492, 327, 726

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 327 is 3 x 109

Prime Factorization of 726 is 2 x 3 x 11 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(492, 327) = 53628

GCD(492, 327) = ( 492 x 327 ) / 53628

GCD(492, 327) = 160884 / 53628

GCD(492, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

GCD of 492, 327, 726 is 3

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1. What is the GCD of 492, 327, 726?

GCD of 492, 327, 726 is 3

2. Where do I get the detailed procedure to find GCD of 492, 327, 726?

You can find a detailed procedure to find GCD of 492, 327, 726 on our page.

3. How to find GCD of 492, 327, 726 on a calculator?

You can find the GCD of 492, 327, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.