GCD of 663, 649, 721 Calculator

Given Input numbers are 663, 649, 721

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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 663, 649, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 649, 721 is 1.

Therefore, GCD of numbers 663, 649, 721 is 1

Given Input Data is 663, 649, 721

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 649 is 11 x 59

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(663, 649) = 430287

GCD(663, 649) = ( 663 x 649 ) / 430287

GCD(663, 649) = 430287 / 430287

GCD(663, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 663, 649, 721 is 1

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1. What is the GCD of 663, 649, 721?

GCD of 663, 649, 721 is 1

2. Where do I get the detailed procedure to find GCD of 663, 649, 721?

You can find a detailed procedure to find GCD of 663, 649, 721 on our page.

3. How to find GCD of 663, 649, 721 on a calculator?

You can find the GCD of 663, 649, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.