GCD of 821, 716, 25, 673 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, 716, 25, 673 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 716, 25, 673 is 1

GCD(821, 716, 25, 673) = 1

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

GCD of

GCD of numbers 821, 716, 25, 673 is 1

GCD(821, 716, 25, 673) = 1

GCD of 821,716,25,673 Calculator

GCDof 821,716,25,673 is 1

Given Input numbers are 821, 716, 25, 673

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 821, 716, 25, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 716, 25, 673 is 1.

Therefore, GCD of numbers 821, 716, 25, 673 is 1

Finding GCD of 821, 716, 25, 673 using Prime Factorization

Given Input Data is 821, 716, 25, 673

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

Prime Factorization of 821 is 821

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 25 is 5 x 5

Prime Factorization of 673 is 673

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

Finding GCD of 821, 716, 25, 673 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, 716) = 587836

GCD(821, 716) = ( 821 x 716 ) / 587836

GCD(821, 716) = 587836 / 587836

GCD(821, 716) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 821, 716, 25, 673 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 716, 25, 673

1. What is the GCD of 821, 716, 25, 673?

GCD of 821, 716, 25, 673 is 1


2. Where do I get the detailed procedure to find GCD of 821, 716, 25, 673?

You can find a detailed procedure to find GCD of 821, 716, 25, 673 on our page.


3. How to find GCD of 821, 716, 25, 673 on a calculator?

You can find the GCD of 821, 716, 25, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.