GCD of 113, 291, 338 Calculator

Given Input numbers are 113, 291, 338

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 113, 291, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 291, 338 is 1.

Therefore, GCD of numbers 113, 291, 338 is 1

Given Input Data is 113, 291, 338

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

Prime Factorization of 113 is 113

Prime Factorization of 291 is 3 x 97

Prime Factorization of 338 is 2 x 13 x 13

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(113, 291) = 32883

GCD(113, 291) = ( 113 x 291 ) / 32883

GCD(113, 291) = 32883 / 32883

GCD(113, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 113, 291, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 465, 404
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• GCD of 301, 309, 727
• GCD of 920, 939, 488

1. What is the GCD of 113, 291, 338?

GCD of 113, 291, 338 is 1

2. Where do I get the detailed procedure to find GCD of 113, 291, 338?

You can find a detailed procedure to find GCD of 113, 291, 338 on our page.

3. How to find GCD of 113, 291, 338 on a calculator?

You can find the GCD of 113, 291, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.