GCD of 270, 380, 27, 892 Calculator

Given Input numbers are 270, 380, 27, 892

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 27

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

1, 3, 9, 27

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 270, 380, 27, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 380, 27, 892 is 1.

Therefore, GCD of numbers 270, 380, 27, 892 is 1

Given Input Data is 270, 380, 27, 892

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 27 is 3 x 3 x 3

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(270, 380) = 10260

GCD(270, 380) = ( 270 x 380 ) / 10260

GCD(270, 380) = 102600 / 10260

GCD(270, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 27

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

LCM(10, 27) = 270

GCD(10, 27) = ( 10 x 27 ) / 270

GCD(10, 27) = 270 / 270

GCD(10, 27) = 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 270, 380, 27, 892 is 1

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1. What is the GCD of 270, 380, 27, 892?

GCD of 270, 380, 27, 892 is 1

2. Where do I get the detailed procedure to find GCD of 270, 380, 27, 892?

You can find a detailed procedure to find GCD of 270, 380, 27, 892 on our page.

3. How to find GCD of 270, 380, 27, 892 on a calculator?

You can find the GCD of 270, 380, 27, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.