GCD of 617, 296, 320, 427 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 617, 296, 320, 427 i.e. 1 largest integer that divides all the numbers equally.

GCD of 617, 296, 320, 427 is 1

GCD(617, 296, 320, 427) = 1

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

GCD of

GCD of numbers 617, 296, 320, 427 is 1

GCD(617, 296, 320, 427) = 1

GCD of 617,296,320,427 Calculator

GCDof 617,296,320,427 is 1

Given Input numbers are 617, 296, 320, 427

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 617, 296, 320, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 296, 320, 427 is 1.

Therefore, GCD of numbers 617, 296, 320, 427 is 1

Finding GCD of 617, 296, 320, 427 using Prime Factorization

Given Input Data is 617, 296, 320, 427

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

Prime Factorization of 617 is 617

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 427 is 7 x 61

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

Finding GCD of 617, 296, 320, 427 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(617, 296) = 182632

GCD(617, 296) = ( 617 x 296 ) / 182632

GCD(617, 296) = 182632 / 182632

GCD(617, 296) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 617, 296, 320, 427 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 617, 296, 320, 427

1. What is the GCD of 617, 296, 320, 427?

GCD of 617, 296, 320, 427 is 1


2. Where do I get the detailed procedure to find GCD of 617, 296, 320, 427?

You can find a detailed procedure to find GCD of 617, 296, 320, 427 on our page.


3. How to find GCD of 617, 296, 320, 427 on a calculator?

You can find the GCD of 617, 296, 320, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.