GCD of 814, 867, 42, 271 Calculator

Given Input numbers are 814, 867, 42, 271

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 814, 867, 42, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 867, 42, 271 is 1.

Therefore, GCD of numbers 814, 867, 42, 271 is 1

Given Input Data is 814, 867, 42, 271

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 42 is 2 x 3 x 7

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(814, 867) = 705738

GCD(814, 867) = ( 814 x 867 ) / 705738

GCD(814, 867) = 705738 / 705738

GCD(814, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 814, 867, 42, 271 is 1

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1. What is the GCD of 814, 867, 42, 271?

GCD of 814, 867, 42, 271 is 1

2. Where do I get the detailed procedure to find GCD of 814, 867, 42, 271?

You can find a detailed procedure to find GCD of 814, 867, 42, 271 on our page.

3. How to find GCD of 814, 867, 42, 271 on a calculator?

You can find the GCD of 814, 867, 42, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.