GCD of 721, 819, 741, 901 Calculator

Given Input numbers are 721, 819, 741, 901

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 721, 819, 741, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 819, 741, 901 is 1.

Therefore, GCD of numbers 721, 819, 741, 901 is 1

Given Input Data is 721, 819, 741, 901

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 901 is 17 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(721, 819) = 84357

GCD(721, 819) = ( 721 x 819 ) / 84357

GCD(721, 819) = 590499 / 84357

GCD(721, 819) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 741

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

LCM(7, 741) = 5187

GCD(7, 741) = ( 7 x 741 ) / 5187

GCD(7, 741) = 5187 / 5187

GCD(7, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 721, 819, 741, 901 is 1

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1. What is the GCD of 721, 819, 741, 901?

GCD of 721, 819, 741, 901 is 1

2. Where do I get the detailed procedure to find GCD of 721, 819, 741, 901?

You can find a detailed procedure to find GCD of 721, 819, 741, 901 on our page.

3. How to find GCD of 721, 819, 741, 901 on a calculator?

You can find the GCD of 721, 819, 741, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.