GCD of 309, 353, 81, 266 Calculator

Given Input numbers are 309, 353, 81, 266

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 309, 353, 81, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 353, 81, 266 is 1.

Therefore, GCD of numbers 309, 353, 81, 266 is 1

Given Input Data is 309, 353, 81, 266

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 353 is 353

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 266 is 2 x 7 x 19

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(309, 353) = 109077

GCD(309, 353) = ( 309 x 353 ) / 109077

GCD(309, 353) = 109077 / 109077

GCD(309, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 309, 353, 81, 266 is 1

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1. What is the GCD of 309, 353, 81, 266?

GCD of 309, 353, 81, 266 is 1

2. Where do I get the detailed procedure to find GCD of 309, 353, 81, 266?

You can find a detailed procedure to find GCD of 309, 353, 81, 266 on our page.

3. How to find GCD of 309, 353, 81, 266 on a calculator?

You can find the GCD of 309, 353, 81, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.