GCD of 205, 203, 69, 241 Calculator

Given Input numbers are 205, 203, 69, 241

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 205, 203, 69, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 203, 69, 241 is 1.

Therefore, GCD of numbers 205, 203, 69, 241 is 1

Given Input Data is 205, 203, 69, 241

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 203 is 7 x 29

Prime Factorization of 69 is 3 x 23

Prime Factorization of 241 is 241

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(205, 203) = 41615

GCD(205, 203) = ( 205 x 203 ) / 41615

GCD(205, 203) = 41615 / 41615

GCD(205, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 205, 203, 69, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 614, 12, 967
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• GCD of 173, 949, 13, 961
• GCD of 224, 353, 98, 204
• GCD of 398, 293, 36, 212

1. What is the GCD of 205, 203, 69, 241?

GCD of 205, 203, 69, 241 is 1

2. Where do I get the detailed procedure to find GCD of 205, 203, 69, 241?

You can find a detailed procedure to find GCD of 205, 203, 69, 241 on our page.

3. How to find GCD of 205, 203, 69, 241 on a calculator?

You can find the GCD of 205, 203, 69, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.