GCD of 663, 421, 90, 723 Calculator

Given Input numbers are 663, 421, 90, 723

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 663, 421, 90, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 421, 90, 723 is 1.

Therefore, GCD of numbers 663, 421, 90, 723 is 1

Given Input Data is 663, 421, 90, 723

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 421 is 421

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 723 is 3 x 241

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, 421) = 279123

GCD(663, 421) = ( 663 x 421 ) / 279123

GCD(663, 421) = 279123 / 279123

GCD(663, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 663, 421, 90, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 291, 89, 834
• GCD of 841, 157, 90, 783
• GCD of 708, 136, 20, 767
• GCD of 129, 280, 32, 841
• GCD of 632, 184, 81, 866

1. What is the GCD of 663, 421, 90, 723?

GCD of 663, 421, 90, 723 is 1

2. Where do I get the detailed procedure to find GCD of 663, 421, 90, 723?

You can find a detailed procedure to find GCD of 663, 421, 90, 723 on our page.

3. How to find GCD of 663, 421, 90, 723 on a calculator?

You can find the GCD of 663, 421, 90, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.