GCD of 144, 536, 662, 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 144, 536, 662, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 144, 536, 662, 491 is 1

GCD(144, 536, 662, 491) = 1

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

GCD of

GCD of numbers 144, 536, 662, 491 is 1

GCD(144, 536, 662, 491) = 1

GCD of 144,536,662,491 Calculator

GCDof 144,536,662,491 is 1

Given Input numbers are 144, 536, 662, 491

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 144, 536, 662, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 536, 662, 491 is 1.

Therefore, GCD of numbers 144, 536, 662, 491 is 1

Finding GCD of 144, 536, 662, 491 using Prime Factorization

Given Input Data is 144, 536, 662, 491

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 662 is 2 x 331

Prime Factorization of 491 is 491

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

Finding GCD of 144, 536, 662, 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(144, 536) = 9648

GCD(144, 536) = ( 144 x 536 ) / 9648

GCD(144, 536) = 77184 / 9648

GCD(144, 536) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 662

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

LCM(8, 662) = 2648

GCD(8, 662) = ( 8 x 662 ) / 2648

GCD(8, 662) = 5296 / 2648

GCD(8, 662) = 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 144, 536, 662, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 144, 536, 662, 491

1. What is the GCD of 144, 536, 662, 491?

GCD of 144, 536, 662, 491 is 1


2. Where do I get the detailed procedure to find GCD of 144, 536, 662, 491?

You can find a detailed procedure to find GCD of 144, 536, 662, 491 on our page.


3. How to find GCD of 144, 536, 662, 491 on a calculator?

You can find the GCD of 144, 536, 662, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.