GCD of 712, 489, 54, 335 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 712, 489, 54, 335 i.e. 1 largest integer that divides all the numbers equally.

GCD of 712, 489, 54, 335 is 1

GCD(712, 489, 54, 335) = 1

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

GCD of

GCD of numbers 712, 489, 54, 335 is 1

GCD(712, 489, 54, 335) = 1

GCD of 712,489,54,335 Calculator

GCDof 712,489,54,335 is 1

Given Input numbers are 712, 489, 54, 335

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 712, 489, 54, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 489, 54, 335 is 1.

Therefore, GCD of numbers 712, 489, 54, 335 is 1

Finding GCD of 712, 489, 54, 335 using Prime Factorization

Given Input Data is 712, 489, 54, 335

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 489 is 3 x 163

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 335 is 5 x 67

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

Finding GCD of 712, 489, 54, 335 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(712, 489) = 348168

GCD(712, 489) = ( 712 x 489 ) / 348168

GCD(712, 489) = 348168 / 348168

GCD(712, 489) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 712, 489, 54, 335 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 712, 489, 54, 335

1. What is the GCD of 712, 489, 54, 335?

GCD of 712, 489, 54, 335 is 1


2. Where do I get the detailed procedure to find GCD of 712, 489, 54, 335?

You can find a detailed procedure to find GCD of 712, 489, 54, 335 on our page.


3. How to find GCD of 712, 489, 54, 335 on a calculator?

You can find the GCD of 712, 489, 54, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.