GCD of 363, 364, 684, 721 Calculator

Given Input numbers are 363, 364, 684, 721

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 363, 364, 684, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 364, 684, 721 is 1.

Therefore, GCD of numbers 363, 364, 684, 721 is 1

Given Input Data is 363, 364, 684, 721

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(363, 364) = 132132

GCD(363, 364) = ( 363 x 364 ) / 132132

GCD(363, 364) = 132132 / 132132

GCD(363, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

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 363, 364, 684, 721 is 1

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1. What is the GCD of 363, 364, 684, 721?

GCD of 363, 364, 684, 721 is 1

2. Where do I get the detailed procedure to find GCD of 363, 364, 684, 721?

You can find a detailed procedure to find GCD of 363, 364, 684, 721 on our page.

3. How to find GCD of 363, 364, 684, 721 on a calculator?

You can find the GCD of 363, 364, 684, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.