GCD of 721, 266, 241, 468 Calculator

Given Input numbers are 721, 266, 241, 468

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 241

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

1, 241

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 721, 266, 241, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 266, 241, 468 is 1.

Therefore, GCD of numbers 721, 266, 241, 468 is 1

Given Input Data is 721, 266, 241, 468

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 241 is 241

Prime Factorization of 468 is 2 x 2 x 3 x 3 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(721, 266) = 27398

GCD(721, 266) = ( 721 x 266 ) / 27398

GCD(721, 266) = 191786 / 27398

GCD(721, 266) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 241

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

LCM(7, 241) = 1687

GCD(7, 241) = ( 7 x 241 ) / 1687

GCD(7, 241) = 1687 / 1687

GCD(7, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 721, 266, 241, 468 is 1

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1. What is the GCD of 721, 266, 241, 468?

GCD of 721, 266, 241, 468 is 1

2. Where do I get the detailed procedure to find GCD of 721, 266, 241, 468?

You can find a detailed procedure to find GCD of 721, 266, 241, 468 on our page.

3. How to find GCD of 721, 266, 241, 468 on a calculator?

You can find the GCD of 721, 266, 241, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.