GCD of 492, 436, 94, 731 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, 436, 94, 731 i.e. 1 largest integer that divides all the numbers equally.

GCD of 492, 436, 94, 731 is 1

GCD(492, 436, 94, 731) = 1

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

GCD of

GCD of numbers 492, 436, 94, 731 is 1

GCD(492, 436, 94, 731) = 1

GCD of 492,436,94,731 Calculator

GCDof 492,436,94,731 is 1

Given Input numbers are 492, 436, 94, 731

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 492, 436, 94, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 436, 94, 731 is 1.

Therefore, GCD of numbers 492, 436, 94, 731 is 1

Finding GCD of 492, 436, 94, 731 using Prime Factorization

Given Input Data is 492, 436, 94, 731

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 436 is 2 x 2 x 109

Prime Factorization of 94 is 2 x 47

Prime Factorization of 731 is 17 x 43

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

Finding GCD of 492, 436, 94, 731 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, 436) = 53628

GCD(492, 436) = ( 492 x 436 ) / 53628

GCD(492, 436) = 214512 / 53628

GCD(492, 436) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 492, 436, 94, 731 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 492, 436, 94, 731

1. What is the GCD of 492, 436, 94, 731?

GCD of 492, 436, 94, 731 is 1


2. Where do I get the detailed procedure to find GCD of 492, 436, 94, 731?

You can find a detailed procedure to find GCD of 492, 436, 94, 731 on our page.


3. How to find GCD of 492, 436, 94, 731 on a calculator?

You can find the GCD of 492, 436, 94, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.