GCD of 821, 392, 71 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 821, 392, 71 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 392, 71 is 1

GCD(821, 392, 71) = 1

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

GCD of

GCD of numbers 821, 392, 71 is 1

GCD(821, 392, 71) = 1

GCD of 821,392,71 Calculator

GCDof 821,392,71 is 1

Given Input numbers are 821, 392, 71

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

Divisors of 821

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

1, 821

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 821, 392, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 392, 71 is 1.

Therefore, GCD of numbers 821, 392, 71 is 1

Finding GCD of 821, 392, 71 using Prime Factorization

Given Input Data is 821, 392, 71

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

Prime Factorization of 821 is 821

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 71 is 71

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

Finding GCD of 821, 392, 71 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(821, 392) = 321832

GCD(821, 392) = ( 821 x 392 ) / 321832

GCD(821, 392) = 321832 / 321832

GCD(821, 392) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 821, 392, 71 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 392, 71

1. What is the GCD of 821, 392, 71?

GCD of 821, 392, 71 is 1


2. Where do I get the detailed procedure to find GCD of 821, 392, 71?

You can find a detailed procedure to find GCD of 821, 392, 71 on our page.


3. How to find GCD of 821, 392, 71 on a calculator?

You can find the GCD of 821, 392, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.