GCD of 293, 314, 11, 299 Calculator

Given Input numbers are 293, 314, 11, 299

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

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 293, 314, 11, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 314, 11, 299 is 1.

Therefore, GCD of numbers 293, 314, 11, 299 is 1

Given Input Data is 293, 314, 11, 299

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

Prime Factorization of 293 is 293

Prime Factorization of 314 is 2 x 157

Prime Factorization of 11 is 11

Prime Factorization of 299 is 13 x 23

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(293, 314) = 92002

GCD(293, 314) = ( 293 x 314 ) / 92002

GCD(293, 314) = 92002 / 92002

GCD(293, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 293, 314, 11, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 600, 76, 937
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• GCD of 565, 296, 65, 205

1. What is the GCD of 293, 314, 11, 299?

GCD of 293, 314, 11, 299 is 1

2. Where do I get the detailed procedure to find GCD of 293, 314, 11, 299?

You can find a detailed procedure to find GCD of 293, 314, 11, 299 on our page.

3. How to find GCD of 293, 314, 11, 299 on a calculator?

You can find the GCD of 293, 314, 11, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.