GCD of 912, 112, 184, 271 Calculator

Given Input numbers are 912, 112, 184, 271

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 271

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

1, 271

Greatest Common Divisior

We found the divisors of 912, 112, 184, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 112, 184, 271 is 1.

Therefore, GCD of numbers 912, 112, 184, 271 is 1

Given Input Data is 912, 112, 184, 271

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 271 is 271

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(912, 112) = 6384

GCD(912, 112) = ( 912 x 112 ) / 6384

GCD(912, 112) = 102144 / 6384

GCD(912, 112) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 184

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

LCM(16, 184) = 368

GCD(16, 184) = ( 16 x 184 ) / 368

GCD(16, 184) = 2944 / 368

GCD(16, 184) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 271

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

LCM(8, 271) = 2168

GCD(8, 271) = ( 8 x 271 ) / 2168

GCD(8, 271) = 2168 / 2168

GCD(8, 271) = 1

GCD of 912, 112, 184, 271 is 1

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• GCD of 514, 308, 636, 887
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1. What is the GCD of 912, 112, 184, 271?

GCD of 912, 112, 184, 271 is 1

2. Where do I get the detailed procedure to find GCD of 912, 112, 184, 271?

You can find a detailed procedure to find GCD of 912, 112, 184, 271 on our page.

3. How to find GCD of 912, 112, 184, 271 on a calculator?

You can find the GCD of 912, 112, 184, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.