GCD of 748, 192, 27 Calculator

Given Input numbers are 748, 192, 27

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 748, 192, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 192, 27 is 1.

Therefore, GCD of numbers 748, 192, 27 is 1

Given Input Data is 748, 192, 27

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 27 is 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(748, 192) = 35904

GCD(748, 192) = ( 748 x 192 ) / 35904

GCD(748, 192) = 143616 / 35904

GCD(748, 192) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

GCD of 748, 192, 27 is 1

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1. What is the GCD of 748, 192, 27?

GCD of 748, 192, 27 is 1

2. Where do I get the detailed procedure to find GCD of 748, 192, 27?

You can find a detailed procedure to find GCD of 748, 192, 27 on our page.

3. How to find GCD of 748, 192, 27 on a calculator?

You can find the GCD of 748, 192, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.