GCD of 727, 354, 465 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 727, 354, 465 i.e. 1 largest integer that divides all the numbers equally.

GCD of 727, 354, 465 is 1

GCD(727, 354, 465) = 1

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

GCD of

GCD of numbers 727, 354, 465 is 1

GCD(727, 354, 465) = 1

GCD of 727,354,465 Calculator

GCDof 727,354,465 is 1

Given Input numbers are 727, 354, 465

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 727, 354, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 354, 465 is 1.

Therefore, GCD of numbers 727, 354, 465 is 1

Finding GCD of 727, 354, 465 using Prime Factorization

Given Input Data is 727, 354, 465

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

Prime Factorization of 727 is 727

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 465 is 3 x 5 x 31

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

Finding GCD of 727, 354, 465 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(727, 354) = 257358

GCD(727, 354) = ( 727 x 354 ) / 257358

GCD(727, 354) = 257358 / 257358

GCD(727, 354) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 727, 354, 465 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 727, 354, 465

1. What is the GCD of 727, 354, 465?

GCD of 727, 354, 465 is 1


2. Where do I get the detailed procedure to find GCD of 727, 354, 465?

You can find a detailed procedure to find GCD of 727, 354, 465 on our page.


3. How to find GCD of 727, 354, 465 on a calculator?

You can find the GCD of 727, 354, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.