GCD of 27, 344, 814, 658 Calculator

Given Input numbers are 27, 344, 814, 658

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 27, 344, 814, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 344, 814, 658 is 1.

Therefore, GCD of numbers 27, 344, 814, 658 is 1

Given Input Data is 27, 344, 814, 658

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 658 is 2 x 7 x 47

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(27, 344) = 9288

GCD(27, 344) = ( 27 x 344 ) / 9288

GCD(27, 344) = 9288 / 9288

GCD(27, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 27, 344, 814, 658 is 1

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1. What is the GCD of 27, 344, 814, 658?

GCD of 27, 344, 814, 658 is 1

2. Where do I get the detailed procedure to find GCD of 27, 344, 814, 658?

You can find a detailed procedure to find GCD of 27, 344, 814, 658 on our page.

3. How to find GCD of 27, 344, 814, 658 on a calculator?

You can find the GCD of 27, 344, 814, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.