GCD of 393, 914, 152 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 393, 914, 152 i.e. 1 largest integer that divides all the numbers equally.

GCD of 393, 914, 152 is 1

GCD(393, 914, 152) = 1

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

GCD of

GCD of numbers 393, 914, 152 is 1

GCD(393, 914, 152) = 1

GCD of 393,914,152 Calculator

GCDof 393,914,152 is 1

Given Input numbers are 393, 914, 152

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 393, 914, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 914, 152 is 1.

Therefore, GCD of numbers 393, 914, 152 is 1

Finding GCD of 393, 914, 152 using Prime Factorization

Given Input Data is 393, 914, 152

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 914 is 2 x 457

Prime Factorization of 152 is 2 x 2 x 2 x 19

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

Finding GCD of 393, 914, 152 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(393, 914) = 359202

GCD(393, 914) = ( 393 x 914 ) / 359202

GCD(393, 914) = 359202 / 359202

GCD(393, 914) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 393, 914, 152 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 393, 914, 152

1. What is the GCD of 393, 914, 152?

GCD of 393, 914, 152 is 1


2. Where do I get the detailed procedure to find GCD of 393, 914, 152?

You can find a detailed procedure to find GCD of 393, 914, 152 on our page.


3. How to find GCD of 393, 914, 152 on a calculator?

You can find the GCD of 393, 914, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.