GCD of 241, 355, 42, 260 Calculator

Given Input numbers are 241, 355, 42, 260

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

Divisors of 241

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

1, 241

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 241, 355, 42, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 355, 42, 260 is 1.

Therefore, GCD of numbers 241, 355, 42, 260 is 1

Given Input Data is 241, 355, 42, 260

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

Prime Factorization of 241 is 241

Prime Factorization of 355 is 5 x 71

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 260 is 2 x 2 x 5 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(241, 355) = 85555

GCD(241, 355) = ( 241 x 355 ) / 85555

GCD(241, 355) = 85555 / 85555

GCD(241, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 241, 355, 42, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 195, 84, 813
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• GCD of 893, 734, 22, 822
• GCD of 953, 781, 63, 910

1. What is the GCD of 241, 355, 42, 260?

GCD of 241, 355, 42, 260 is 1

2. Where do I get the detailed procedure to find GCD of 241, 355, 42, 260?

You can find a detailed procedure to find GCD of 241, 355, 42, 260 on our page.

3. How to find GCD of 241, 355, 42, 260 on a calculator?

You can find the GCD of 241, 355, 42, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.