GCD of 491, 736, 48, 558 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 491, 736, 48, 558 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 736, 48, 558 is 1

GCD(491, 736, 48, 558) = 1

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

GCD of

GCD of numbers 491, 736, 48, 558 is 1

GCD(491, 736, 48, 558) = 1

GCD of 491,736,48,558 Calculator

GCDof 491,736,48,558 is 1

Given Input numbers are 491, 736, 48, 558

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

Divisors of 491

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

1, 491

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 491, 736, 48, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 736, 48, 558 is 1.

Therefore, GCD of numbers 491, 736, 48, 558 is 1

Finding GCD of 491, 736, 48, 558 using Prime Factorization

Given Input Data is 491, 736, 48, 558

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

Prime Factorization of 491 is 491

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 558 is 2 x 3 x 3 x 31

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

Finding GCD of 491, 736, 48, 558 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(491, 736) = 361376

GCD(491, 736) = ( 491 x 736 ) / 361376

GCD(491, 736) = 361376 / 361376

GCD(491, 736) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 491, 736, 48, 558 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 491, 736, 48, 558

1. What is the GCD of 491, 736, 48, 558?

GCD of 491, 736, 48, 558 is 1


2. Where do I get the detailed procedure to find GCD of 491, 736, 48, 558?

You can find a detailed procedure to find GCD of 491, 736, 48, 558 on our page.


3. How to find GCD of 491, 736, 48, 558 on a calculator?

You can find the GCD of 491, 736, 48, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.