GCD of 271, 192, 848, 318 Calculator

Given Input numbers are 271, 192, 848, 318

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 271, 192, 848, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 192, 848, 318 is 1.

Therefore, GCD of numbers 271, 192, 848, 318 is 1

Given Input Data is 271, 192, 848, 318

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

Prime Factorization of 271 is 271

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 318 is 2 x 3 x 53

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(271, 192) = 52032

GCD(271, 192) = ( 271 x 192 ) / 52032

GCD(271, 192) = 52032 / 52032

GCD(271, 192) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 271, 192, 848, 318 is 1

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1. What is the GCD of 271, 192, 848, 318?

GCD of 271, 192, 848, 318 is 1

2. Where do I get the detailed procedure to find GCD of 271, 192, 848, 318?

You can find a detailed procedure to find GCD of 271, 192, 848, 318 on our page.

3. How to find GCD of 271, 192, 848, 318 on a calculator?

You can find the GCD of 271, 192, 848, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.