GCD of 113, 565, 199, 345 Calculator

Given Input numbers are 113, 565, 199, 345

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 113, 565, 199, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 565, 199, 345 is 1.

Therefore, GCD of numbers 113, 565, 199, 345 is 1

Given Input Data is 113, 565, 199, 345

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

Prime Factorization of 113 is 113

Prime Factorization of 565 is 5 x 113

Prime Factorization of 199 is 199

Prime Factorization of 345 is 3 x 5 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(113, 565) = 565

GCD(113, 565) = ( 113 x 565 ) / 565

GCD(113, 565) = 63845 / 565

GCD(113, 565) = 113

Step2:

Here we consider the GCD from the above i.e. 113 as first number and the next as 199

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

LCM(113, 199) = 22487

GCD(113, 199) = ( 113 x 199 ) / 22487

GCD(113, 199) = 22487 / 22487

GCD(113, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 113, 565, 199, 345 is 1

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1. What is the GCD of 113, 565, 199, 345?

GCD of 113, 565, 199, 345 is 1

2. Where do I get the detailed procedure to find GCD of 113, 565, 199, 345?

You can find a detailed procedure to find GCD of 113, 565, 199, 345 on our page.

3. How to find GCD of 113, 565, 199, 345 on a calculator?

You can find the GCD of 113, 565, 199, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.