GCD of 502, 286, 68, 771 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 502, 286, 68, 771 i.e. 1 largest integer that divides all the numbers equally.

GCD of 502, 286, 68, 771 is 1

GCD(502, 286, 68, 771) = 1

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

GCD of

GCD of numbers 502, 286, 68, 771 is 1

GCD(502, 286, 68, 771) = 1

GCD of 502,286,68,771 Calculator

GCDof 502,286,68,771 is 1

Given Input numbers are 502, 286, 68, 771

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 502, 286, 68, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 286, 68, 771 is 1.

Therefore, GCD of numbers 502, 286, 68, 771 is 1

Finding GCD of 502, 286, 68, 771 using Prime Factorization

Given Input Data is 502, 286, 68, 771

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 771 is 3 x 257

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

Finding GCD of 502, 286, 68, 771 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(502, 286) = 71786

GCD(502, 286) = ( 502 x 286 ) / 71786

GCD(502, 286) = 143572 / 71786

GCD(502, 286) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 502, 286, 68, 771 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 502, 286, 68, 771

1. What is the GCD of 502, 286, 68, 771?

GCD of 502, 286, 68, 771 is 1


2. Where do I get the detailed procedure to find GCD of 502, 286, 68, 771?

You can find a detailed procedure to find GCD of 502, 286, 68, 771 on our page.


3. How to find GCD of 502, 286, 68, 771 on a calculator?

You can find the GCD of 502, 286, 68, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.