GCD of 655, 498, 46, 821 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 655, 498, 46, 821 i.e. 1 largest integer that divides all the numbers equally.

GCD of 655, 498, 46, 821 is 1

GCD(655, 498, 46, 821) = 1

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

GCD of

GCD of numbers 655, 498, 46, 821 is 1

GCD(655, 498, 46, 821) = 1

GCD of 655,498,46,821 Calculator

GCDof 655,498,46,821 is 1

Given Input numbers are 655, 498, 46, 821

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 655, 498, 46, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 498, 46, 821 is 1.

Therefore, GCD of numbers 655, 498, 46, 821 is 1

Finding GCD of 655, 498, 46, 821 using Prime Factorization

Given Input Data is 655, 498, 46, 821

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 46 is 2 x 23

Prime Factorization of 821 is 821

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

Finding GCD of 655, 498, 46, 821 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(655, 498) = 326190

GCD(655, 498) = ( 655 x 498 ) / 326190

GCD(655, 498) = 326190 / 326190

GCD(655, 498) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 655, 498, 46, 821 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 655, 498, 46, 821

1. What is the GCD of 655, 498, 46, 821?

GCD of 655, 498, 46, 821 is 1


2. Where do I get the detailed procedure to find GCD of 655, 498, 46, 821?

You can find a detailed procedure to find GCD of 655, 498, 46, 821 on our page.


3. How to find GCD of 655, 498, 46, 821 on a calculator?

You can find the GCD of 655, 498, 46, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.