GCD of 492, 444, 49, 145 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 492, 444, 49, 145 i.e. 1 largest integer that divides all the numbers equally.

GCD of 492, 444, 49, 145 is 1

GCD(492, 444, 49, 145) = 1

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

GCD of

GCD of numbers 492, 444, 49, 145 is 1

GCD(492, 444, 49, 145) = 1

GCD of 492,444,49,145 Calculator

GCDof 492,444,49,145 is 1

Given Input numbers are 492, 444, 49, 145

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 492, 444, 49, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 444, 49, 145 is 1.

Therefore, GCD of numbers 492, 444, 49, 145 is 1

Finding GCD of 492, 444, 49, 145 using Prime Factorization

Given Input Data is 492, 444, 49, 145

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 145 is 5 x 29

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

Finding GCD of 492, 444, 49, 145 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(492, 444) = 18204

GCD(492, 444) = ( 492 x 444 ) / 18204

GCD(492, 444) = 218448 / 18204

GCD(492, 444) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 49

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

LCM(12, 49) = 588

GCD(12, 49) = ( 12 x 49 ) / 588

GCD(12, 49) = 588 / 588

GCD(12, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 492, 444, 49, 145 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 492, 444, 49, 145

1. What is the GCD of 492, 444, 49, 145?

GCD of 492, 444, 49, 145 is 1


2. Where do I get the detailed procedure to find GCD of 492, 444, 49, 145?

You can find a detailed procedure to find GCD of 492, 444, 49, 145 on our page.


3. How to find GCD of 492, 444, 49, 145 on a calculator?

You can find the GCD of 492, 444, 49, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.