GCD of 169, 242, 113 Calculator

Given Input numbers are 169, 242, 113

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 113

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

1, 113

Greatest Common Divisior

We found the divisors of 169, 242, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 242, 113 is 1.

Therefore, GCD of numbers 169, 242, 113 is 1

Given Input Data is 169, 242, 113

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 113 is 113

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(169, 242) = 40898

GCD(169, 242) = ( 169 x 242 ) / 40898

GCD(169, 242) = 40898 / 40898

GCD(169, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 169, 242, 113 is 1

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1. What is the GCD of 169, 242, 113?

GCD of 169, 242, 113 is 1

2. Where do I get the detailed procedure to find GCD of 169, 242, 113?

You can find a detailed procedure to find GCD of 169, 242, 113 on our page.

3. How to find GCD of 169, 242, 113 on a calculator?

You can find the GCD of 169, 242, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.