GCD of 827, 391, 99, 141 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 827, 391, 99, 141 i.e. 1 largest integer that divides all the numbers equally.

GCD of 827, 391, 99, 141 is 1

GCD(827, 391, 99, 141) = 1

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

GCD of

GCD of numbers 827, 391, 99, 141 is 1

GCD(827, 391, 99, 141) = 1

GCD of 827,391,99,141 Calculator

GCDof 827,391,99,141 is 1

Given Input numbers are 827, 391, 99, 141

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 827, 391, 99, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 391, 99, 141 is 1.

Therefore, GCD of numbers 827, 391, 99, 141 is 1

Finding GCD of 827, 391, 99, 141 using Prime Factorization

Given Input Data is 827, 391, 99, 141

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

Prime Factorization of 827 is 827

Prime Factorization of 391 is 17 x 23

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 141 is 3 x 47

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

Finding GCD of 827, 391, 99, 141 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(827, 391) = 323357

GCD(827, 391) = ( 827 x 391 ) / 323357

GCD(827, 391) = 323357 / 323357

GCD(827, 391) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 827, 391, 99, 141 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 827, 391, 99, 141

1. What is the GCD of 827, 391, 99, 141?

GCD of 827, 391, 99, 141 is 1


2. Where do I get the detailed procedure to find GCD of 827, 391, 99, 141?

You can find a detailed procedure to find GCD of 827, 391, 99, 141 on our page.


3. How to find GCD of 827, 391, 99, 141 on a calculator?

You can find the GCD of 827, 391, 99, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.