GCD of 518, 646, 77, 266 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 518, 646, 77, 266 i.e. 1 largest integer that divides all the numbers equally.

GCD of 518, 646, 77, 266 is 1

GCD(518, 646, 77, 266) = 1

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

GCD of

GCD of numbers 518, 646, 77, 266 is 1

GCD(518, 646, 77, 266) = 1

GCD of 518,646,77,266 Calculator

GCDof 518,646,77,266 is 1

Given Input numbers are 518, 646, 77, 266

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 518, 646, 77, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 646, 77, 266 is 1.

Therefore, GCD of numbers 518, 646, 77, 266 is 1

Finding GCD of 518, 646, 77, 266 using Prime Factorization

Given Input Data is 518, 646, 77, 266

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 266 is 2 x 7 x 19

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

Finding GCD of 518, 646, 77, 266 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(518, 646) = 167314

GCD(518, 646) = ( 518 x 646 ) / 167314

GCD(518, 646) = 334628 / 167314

GCD(518, 646) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 518, 646, 77, 266 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 518, 646, 77, 266

1. What is the GCD of 518, 646, 77, 266?

GCD of 518, 646, 77, 266 is 1


2. Where do I get the detailed procedure to find GCD of 518, 646, 77, 266?

You can find a detailed procedure to find GCD of 518, 646, 77, 266 on our page.


3. How to find GCD of 518, 646, 77, 266 on a calculator?

You can find the GCD of 518, 646, 77, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.