GCD of 871, 271, 992, 299 Calculator

Given Input numbers are 871, 271, 992, 299

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 271

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

1, 271

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 871, 271, 992, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 271, 992, 299 is 1.

Therefore, GCD of numbers 871, 271, 992, 299 is 1

Given Input Data is 871, 271, 992, 299

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 271 is 271

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 299 is 13 x 23

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(871, 271) = 236041

GCD(871, 271) = ( 871 x 271 ) / 236041

GCD(871, 271) = 236041 / 236041

GCD(871, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 871, 271, 992, 299 is 1

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• GCD of 818, 439, 698, 216
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1. What is the GCD of 871, 271, 992, 299?

GCD of 871, 271, 992, 299 is 1

2. Where do I get the detailed procedure to find GCD of 871, 271, 992, 299?

You can find a detailed procedure to find GCD of 871, 271, 992, 299 on our page.

3. How to find GCD of 871, 271, 992, 299 on a calculator?

You can find the GCD of 871, 271, 992, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.