GCD of 42, 491, 555, 756 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 42, 491, 555, 756 i.e. 1 largest integer that divides all the numbers equally.

GCD of 42, 491, 555, 756 is 1

GCD(42, 491, 555, 756) = 1

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

GCD of

GCD of numbers 42, 491, 555, 756 is 1

GCD(42, 491, 555, 756) = 1

GCD of 42,491,555,756 Calculator

GCDof 42,491,555,756 is 1

Given Input numbers are 42, 491, 555, 756

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 491

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

1, 491

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 42, 491, 555, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 491, 555, 756 is 1.

Therefore, GCD of numbers 42, 491, 555, 756 is 1

Finding GCD of 42, 491, 555, 756 using Prime Factorization

Given Input Data is 42, 491, 555, 756

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 491 is 491

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Finding GCD of 42, 491, 555, 756 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(42, 491) = 20622

GCD(42, 491) = ( 42 x 491 ) / 20622

GCD(42, 491) = 20622 / 20622

GCD(42, 491) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 42, 491, 555, 756 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 42, 491, 555, 756

1. What is the GCD of 42, 491, 555, 756?

GCD of 42, 491, 555, 756 is 1


2. Where do I get the detailed procedure to find GCD of 42, 491, 555, 756?

You can find a detailed procedure to find GCD of 42, 491, 555, 756 on our page.


3. How to find GCD of 42, 491, 555, 756 on a calculator?

You can find the GCD of 42, 491, 555, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.