GCD of 76, 820, 602, 273 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 76, 820, 602, 273 i.e. 1 largest integer that divides all the numbers equally.

GCD of 76, 820, 602, 273 is 1

GCD(76, 820, 602, 273) = 1

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

GCD of

GCD of numbers 76, 820, 602, 273 is 1

GCD(76, 820, 602, 273) = 1

GCD of 76,820,602,273 Calculator

GCDof 76,820,602,273 is 1

Given Input numbers are 76, 820, 602, 273

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 76, 820, 602, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 820, 602, 273 is 1.

Therefore, GCD of numbers 76, 820, 602, 273 is 1

Finding GCD of 76, 820, 602, 273 using Prime Factorization

Given Input Data is 76, 820, 602, 273

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

Prime Factorization of 76 is 2 x 2 x 19

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 273 is 3 x 7 x 13

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

Finding GCD of 76, 820, 602, 273 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(76, 820) = 15580

GCD(76, 820) = ( 76 x 820 ) / 15580

GCD(76, 820) = 62320 / 15580

GCD(76, 820) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 602

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

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

GCD(4, 602) = 2408 / 1204

GCD(4, 602) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 76, 820, 602, 273 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 76, 820, 602, 273

1. What is the GCD of 76, 820, 602, 273?

GCD of 76, 820, 602, 273 is 1


2. Where do I get the detailed procedure to find GCD of 76, 820, 602, 273?

You can find a detailed procedure to find GCD of 76, 820, 602, 273 on our page.


3. How to find GCD of 76, 820, 602, 273 on a calculator?

You can find the GCD of 76, 820, 602, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.