GCD of 720, 490, 66, 491 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 720, 490, 66, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 490, 66, 491 is 1

GCD(720, 490, 66, 491) = 1

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

GCD of

GCD of numbers 720, 490, 66, 491 is 1

GCD(720, 490, 66, 491) = 1

GCD of 720,490,66,491 Calculator

GCDof 720,490,66,491 is 1

Given Input numbers are 720, 490, 66, 491

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 720, 490, 66, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 490, 66, 491 is 1.

Therefore, GCD of numbers 720, 490, 66, 491 is 1

Finding GCD of 720, 490, 66, 491 using Prime Factorization

Given Input Data is 720, 490, 66, 491

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 491 is 491

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

Finding GCD of 720, 490, 66, 491 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(720, 490) = 35280

GCD(720, 490) = ( 720 x 490 ) / 35280

GCD(720, 490) = 352800 / 35280

GCD(720, 490) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 66

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

LCM(10, 66) = 330

GCD(10, 66) = ( 10 x 66 ) / 330

GCD(10, 66) = 660 / 330

GCD(10, 66) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 720, 490, 66, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 490, 66, 491

1. What is the GCD of 720, 490, 66, 491?

GCD of 720, 490, 66, 491 is 1


2. Where do I get the detailed procedure to find GCD of 720, 490, 66, 491?

You can find a detailed procedure to find GCD of 720, 490, 66, 491 on our page.


3. How to find GCD of 720, 490, 66, 491 on a calculator?

You can find the GCD of 720, 490, 66, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.