GCD of 802, 484, 49, 991 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 802, 484, 49, 991 i.e. 1 largest integer that divides all the numbers equally.

GCD of 802, 484, 49, 991 is 1

GCD(802, 484, 49, 991) = 1

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

GCD of

GCD of numbers 802, 484, 49, 991 is 1

GCD(802, 484, 49, 991) = 1

GCD of 802,484,49,991 Calculator

GCDof 802,484,49,991 is 1

Given Input numbers are 802, 484, 49, 991

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 802, 484, 49, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 484, 49, 991 is 1.

Therefore, GCD of numbers 802, 484, 49, 991 is 1

Finding GCD of 802, 484, 49, 991 using Prime Factorization

Given Input Data is 802, 484, 49, 991

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 991 is 991

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

Finding GCD of 802, 484, 49, 991 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(802, 484) = 194084

GCD(802, 484) = ( 802 x 484 ) / 194084

GCD(802, 484) = 388168 / 194084

GCD(802, 484) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 802, 484, 49, 991 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 484, 49, 991

1. What is the GCD of 802, 484, 49, 991?

GCD of 802, 484, 49, 991 is 1


2. Where do I get the detailed procedure to find GCD of 802, 484, 49, 991?

You can find a detailed procedure to find GCD of 802, 484, 49, 991 on our page.


3. How to find GCD of 802, 484, 49, 991 on a calculator?

You can find the GCD of 802, 484, 49, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.