GCD of 820, 893, 758 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 820, 893, 758 i.e. 1 largest integer that divides all the numbers equally.

GCD of 820, 893, 758 is 1

GCD(820, 893, 758) = 1

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

GCD of

GCD of numbers 820, 893, 758 is 1

GCD(820, 893, 758) = 1

GCD of 820,893,758 Calculator

GCDof 820,893,758 is 1

Given Input numbers are 820, 893, 758

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 820, 893, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 893, 758 is 1.

Therefore, GCD of numbers 820, 893, 758 is 1

Finding GCD of 820, 893, 758 using Prime Factorization

Given Input Data is 820, 893, 758

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 893 is 19 x 47

Prime Factorization of 758 is 2 x 379

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

Finding GCD of 820, 893, 758 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(820, 893) = 732260

GCD(820, 893) = ( 820 x 893 ) / 732260

GCD(820, 893) = 732260 / 732260

GCD(820, 893) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 820, 893, 758 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 820, 893, 758

1. What is the GCD of 820, 893, 758?

GCD of 820, 893, 758 is 1


2. Where do I get the detailed procedure to find GCD of 820, 893, 758?

You can find a detailed procedure to find GCD of 820, 893, 758 on our page.


3. How to find GCD of 820, 893, 758 on a calculator?

You can find the GCD of 820, 893, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.