GCD of 721, 727, 460, 633 Calculator

Given Input numbers are 721, 727, 460, 633

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 721, 727, 460, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 727, 460, 633 is 1.

Therefore, GCD of numbers 721, 727, 460, 633 is 1

Given Input Data is 721, 727, 460, 633

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 727 is 727

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 633 is 3 x 211

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, 727) = 524167

GCD(721, 727) = ( 721 x 727 ) / 524167

GCD(721, 727) = 524167 / 524167

GCD(721, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 721, 727, 460, 633 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 421, 126, 123
• GCD of 270, 859, 957, 521
• GCD of 461, 562, 271, 656
• GCD of 480, 678, 607, 536
• GCD of 492, 312, 868, 470

1. What is the GCD of 721, 727, 460, 633?

GCD of 721, 727, 460, 633 is 1

2. Where do I get the detailed procedure to find GCD of 721, 727, 460, 633?

You can find a detailed procedure to find GCD of 721, 727, 460, 633 on our page.

3. How to find GCD of 721, 727, 460, 633 on a calculator?

You can find the GCD of 721, 727, 460, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.