GCD of 486, 764, 507, 550 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 486, 764, 507, 550 i.e. 1 largest integer that divides all the numbers equally.

GCD of 486, 764, 507, 550 is 1

GCD(486, 764, 507, 550) = 1

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

GCD of

GCD of numbers 486, 764, 507, 550 is 1

GCD(486, 764, 507, 550) = 1

GCD of 486,764,507,550 Calculator

GCDof 486,764,507,550 is 1

Given Input numbers are 486, 764, 507, 550

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 486, 764, 507, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 764, 507, 550 is 1.

Therefore, GCD of numbers 486, 764, 507, 550 is 1

Finding GCD of 486, 764, 507, 550 using Prime Factorization

Given Input Data is 486, 764, 507, 550

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 550 is 2 x 5 x 5 x 11

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

Finding GCD of 486, 764, 507, 550 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(486, 764) = 185652

GCD(486, 764) = ( 486 x 764 ) / 185652

GCD(486, 764) = 371304 / 185652

GCD(486, 764) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 486, 764, 507, 550 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 486, 764, 507, 550

1. What is the GCD of 486, 764, 507, 550?

GCD of 486, 764, 507, 550 is 1


2. Where do I get the detailed procedure to find GCD of 486, 764, 507, 550?

You can find a detailed procedure to find GCD of 486, 764, 507, 550 on our page.


3. How to find GCD of 486, 764, 507, 550 on a calculator?

You can find the GCD of 486, 764, 507, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.