GCD of 241, 573, 815, 742 Calculator

Given Input numbers are 241, 573, 815, 742

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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 241, 573, 815, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 573, 815, 742 is 1.

Therefore, GCD of numbers 241, 573, 815, 742 is 1

Given Input Data is 241, 573, 815, 742

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

Prime Factorization of 241 is 241

Prime Factorization of 573 is 3 x 191

Prime Factorization of 815 is 5 x 163

Prime Factorization of 742 is 2 x 7 x 53

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, 573) = 138093

GCD(241, 573) = ( 241 x 573 ) / 138093

GCD(241, 573) = 138093 / 138093

GCD(241, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 241, 573, 815, 742 is 1

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1. What is the GCD of 241, 573, 815, 742?

GCD of 241, 573, 815, 742 is 1

2. Where do I get the detailed procedure to find GCD of 241, 573, 815, 742?

You can find a detailed procedure to find GCD of 241, 573, 815, 742 on our page.

3. How to find GCD of 241, 573, 815, 742 on a calculator?

You can find the GCD of 241, 573, 815, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.