GCD of 727, 108, 54 Calculator

Given Input numbers are 727, 108, 54

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 727, 108, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 108, 54 is 1.

Therefore, GCD of numbers 727, 108, 54 is 1

Given Input Data is 727, 108, 54

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

Prime Factorization of 727 is 727

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(727, 108) = 78516

GCD(727, 108) = ( 727 x 108 ) / 78516

GCD(727, 108) = 78516 / 78516

GCD(727, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 727, 108, 54 is 1

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1. What is the GCD of 727, 108, 54?

GCD of 727, 108, 54 is 1

2. Where do I get the detailed procedure to find GCD of 727, 108, 54?

You can find a detailed procedure to find GCD of 727, 108, 54 on our page.

3. How to find GCD of 727, 108, 54 on a calculator?

You can find the GCD of 727, 108, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.