GCD of 627, 271, 838, 806 Calculator

Given Input numbers are 627, 271, 838, 806

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 271

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

1, 271

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 627, 271, 838, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 271, 838, 806 is 1.

Therefore, GCD of numbers 627, 271, 838, 806 is 1

Given Input Data is 627, 271, 838, 806

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 271 is 271

Prime Factorization of 838 is 2 x 419

Prime Factorization of 806 is 2 x 13 x 31

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(627, 271) = 169917

GCD(627, 271) = ( 627 x 271 ) / 169917

GCD(627, 271) = 169917 / 169917

GCD(627, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 627, 271, 838, 806 is 1

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1. What is the GCD of 627, 271, 838, 806?

GCD of 627, 271, 838, 806 is 1

2. Where do I get the detailed procedure to find GCD of 627, 271, 838, 806?

You can find a detailed procedure to find GCD of 627, 271, 838, 806 on our page.

3. How to find GCD of 627, 271, 838, 806 on a calculator?

You can find the GCD of 627, 271, 838, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.