GCD of 347, 295, 27, 289 Calculator

Given Input numbers are 347, 295, 27, 289

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 27

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

1, 3, 9, 27

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 347, 295, 27, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 295, 27, 289 is 1.

Therefore, GCD of numbers 347, 295, 27, 289 is 1

Given Input Data is 347, 295, 27, 289

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

Prime Factorization of 347 is 347

Prime Factorization of 295 is 5 x 59

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 289 is 17 x 17

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(347, 295) = 102365

GCD(347, 295) = ( 347 x 295 ) / 102365

GCD(347, 295) = 102365 / 102365

GCD(347, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 347, 295, 27, 289 is 1

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1. What is the GCD of 347, 295, 27, 289?

GCD of 347, 295, 27, 289 is 1

2. Where do I get the detailed procedure to find GCD of 347, 295, 27, 289?

You can find a detailed procedure to find GCD of 347, 295, 27, 289 on our page.

3. How to find GCD of 347, 295, 27, 289 on a calculator?

You can find the GCD of 347, 295, 27, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.