GCD of 27, 192, 743, 892 Calculator

Given Input numbers are 27, 192, 743, 892

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

Divisors of 27

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

1, 3, 9, 27

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 27, 192, 743, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 192, 743, 892 is 1.

Therefore, GCD of numbers 27, 192, 743, 892 is 1

Given Input Data is 27, 192, 743, 892

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

Prime Factorization of 27 is 3 x 3 x 3

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

Prime Factorization of 743 is 743

Prime Factorization of 892 is 2 x 2 x 223

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(27, 192) = 1728

GCD(27, 192) = ( 27 x 192 ) / 1728

GCD(27, 192) = 5184 / 1728

GCD(27, 192) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 743

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

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

GCD(3, 743) = 2229 / 2229

GCD(3, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 27, 192, 743, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 709, 970, 202
• GCD of 42, 150, 249, 978
• GCD of 35, 343, 150, 501
• GCD of 82, 962, 788, 181
• GCD of 19, 920, 803, 848

1. What is the GCD of 27, 192, 743, 892?

GCD of 27, 192, 743, 892 is 1

2. Where do I get the detailed procedure to find GCD of 27, 192, 743, 892?

You can find a detailed procedure to find GCD of 27, 192, 743, 892 on our page.

3. How to find GCD of 27, 192, 743, 892 on a calculator?

You can find the GCD of 27, 192, 743, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.