GCD of 344, 412, 565, 205 Calculator

Given Input numbers are 344, 412, 565, 205

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 565

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

1, 5, 113, 565

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 344, 412, 565, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 412, 565, 205 is 1.

Therefore, GCD of numbers 344, 412, 565, 205 is 1

Given Input Data is 344, 412, 565, 205

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 565 is 5 x 113

Prime Factorization of 205 is 5 x 41

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(344, 412) = 35432

GCD(344, 412) = ( 344 x 412 ) / 35432

GCD(344, 412) = 141728 / 35432

GCD(344, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 565

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

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

GCD(4, 565) = 2260 / 2260

GCD(4, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 344, 412, 565, 205 is 1

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1. What is the GCD of 344, 412, 565, 205?

GCD of 344, 412, 565, 205 is 1

2. Where do I get the detailed procedure to find GCD of 344, 412, 565, 205?

You can find a detailed procedure to find GCD of 344, 412, 565, 205 on our page.

3. How to find GCD of 344, 412, 565, 205 on a calculator?

You can find the GCD of 344, 412, 565, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.