GCD of 605, 240, 83, 241 Calculator

Given Input numbers are 605, 240, 83, 241

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 605, 240, 83, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 240, 83, 241 is 1.

Therefore, GCD of numbers 605, 240, 83, 241 is 1

Given Input Data is 605, 240, 83, 241

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 83 is 83

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(605, 240) = 29040

GCD(605, 240) = ( 605 x 240 ) / 29040

GCD(605, 240) = 145200 / 29040

GCD(605, 240) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 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 605, 240, 83, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 965, 84, 352
• GCD of 125, 291, 77, 317
• GCD of 695, 889, 67, 581
• GCD of 660, 905, 30, 918
• GCD of 323, 930, 33, 790

1. What is the GCD of 605, 240, 83, 241?

GCD of 605, 240, 83, 241 is 1

2. Where do I get the detailed procedure to find GCD of 605, 240, 83, 241?

You can find a detailed procedure to find GCD of 605, 240, 83, 241 on our page.

3. How to find GCD of 605, 240, 83, 241 on a calculator?

You can find the GCD of 605, 240, 83, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.