GCD of 267, 723, 721 Calculator

Given Input numbers are 267, 723, 721

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 721

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

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 267, 723, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 723, 721 is 1.

Therefore, GCD of numbers 267, 723, 721 is 1

Given Input Data is 267, 723, 721

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 723 is 3 x 241

Prime Factorization of 721 is 7 x 103

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(267, 723) = 64347

GCD(267, 723) = ( 267 x 723 ) / 64347

GCD(267, 723) = 193041 / 64347

GCD(267, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 721

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

LCM(3, 721) = 2163

GCD(3, 721) = ( 3 x 721 ) / 2163

GCD(3, 721) = 2163 / 2163

GCD(3, 721) = 1

GCD of 267, 723, 721 is 1

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1. What is the GCD of 267, 723, 721?

GCD of 267, 723, 721 is 1

2. Where do I get the detailed procedure to find GCD of 267, 723, 721?

You can find a detailed procedure to find GCD of 267, 723, 721 on our page.

3. How to find GCD of 267, 723, 721 on a calculator?

You can find the GCD of 267, 723, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.