GCD of 454, 996, 481, 689 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 454, 996, 481, 689 i.e. 1 largest integer that divides all the numbers equally.

GCD of 454, 996, 481, 689 is 1

GCD(454, 996, 481, 689) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 454, 996, 481, 689 is 1

GCD(454, 996, 481, 689) = 1

GCD of 454,996,481,689 Calculator

GCDof 454,996,481,689 is 1

Given Input numbers are 454, 996, 481, 689

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 454, 996, 481, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 996, 481, 689 is 1.

Therefore, GCD of numbers 454, 996, 481, 689 is 1

Finding GCD of 454, 996, 481, 689 using Prime Factorization

Given Input Data is 454, 996, 481, 689

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 481 is 13 x 37

Prime Factorization of 689 is 13 x 53

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 454, 996, 481, 689 using LCM Formula

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(454, 996) = 226092

GCD(454, 996) = ( 454 x 996 ) / 226092

GCD(454, 996) = 452184 / 226092

GCD(454, 996) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 481

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

LCM(2, 481) = 962

GCD(2, 481) = ( 2 x 481 ) / 962

GCD(2, 481) = 962 / 962

GCD(2, 481) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 454, 996, 481, 689 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 454, 996, 481, 689

1. What is the GCD of 454, 996, 481, 689?

GCD of 454, 996, 481, 689 is 1


2. Where do I get the detailed procedure to find GCD of 454, 996, 481, 689?

You can find a detailed procedure to find GCD of 454, 996, 481, 689 on our page.


3. How to find GCD of 454, 996, 481, 689 on a calculator?

You can find the GCD of 454, 996, 481, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.