GCD of 821, 746, 87, 392 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, 746, 87, 392 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 746, 87, 392 is 1

GCD(821, 746, 87, 392) = 1

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

GCD of

GCD of numbers 821, 746, 87, 392 is 1

GCD(821, 746, 87, 392) = 1

GCD of 821,746,87,392 Calculator

GCDof 821,746,87,392 is 1

Given Input numbers are 821, 746, 87, 392

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 821, 746, 87, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 746, 87, 392 is 1.

Therefore, GCD of numbers 821, 746, 87, 392 is 1

Finding GCD of 821, 746, 87, 392 using Prime Factorization

Given Input Data is 821, 746, 87, 392

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

Prime Factorization of 821 is 821

Prime Factorization of 746 is 2 x 373

Prime Factorization of 87 is 3 x 29

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

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

Finding GCD of 821, 746, 87, 392 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, 746) = 612466

GCD(821, 746) = ( 821 x 746 ) / 612466

GCD(821, 746) = 612466 / 612466

GCD(821, 746) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 821, 746, 87, 392 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 746, 87, 392

1. What is the GCD of 821, 746, 87, 392?

GCD of 821, 746, 87, 392 is 1


2. Where do I get the detailed procedure to find GCD of 821, 746, 87, 392?

You can find a detailed procedure to find GCD of 821, 746, 87, 392 on our page.


3. How to find GCD of 821, 746, 87, 392 on a calculator?

You can find the GCD of 821, 746, 87, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.