GCD of 317, 177, 46, 264 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 317, 177, 46, 264 i.e. 1 largest integer that divides all the numbers equally.

GCD of 317, 177, 46, 264 is 1

GCD(317, 177, 46, 264) = 1

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

GCD of

GCD of numbers 317, 177, 46, 264 is 1

GCD(317, 177, 46, 264) = 1

GCD of 317,177,46,264 Calculator

GCDof 317,177,46,264 is 1

Given Input numbers are 317, 177, 46, 264

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 317, 177, 46, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 177, 46, 264 is 1.

Therefore, GCD of numbers 317, 177, 46, 264 is 1

Finding GCD of 317, 177, 46, 264 using Prime Factorization

Given Input Data is 317, 177, 46, 264

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

Prime Factorization of 317 is 317

Prime Factorization of 177 is 3 x 59

Prime Factorization of 46 is 2 x 23

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Finding GCD of 317, 177, 46, 264 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(317, 177) = 56109

GCD(317, 177) = ( 317 x 177 ) / 56109

GCD(317, 177) = 56109 / 56109

GCD(317, 177) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 317, 177, 46, 264 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 317, 177, 46, 264

1. What is the GCD of 317, 177, 46, 264?

GCD of 317, 177, 46, 264 is 1


2. Where do I get the detailed procedure to find GCD of 317, 177, 46, 264?

You can find a detailed procedure to find GCD of 317, 177, 46, 264 on our page.


3. How to find GCD of 317, 177, 46, 264 on a calculator?

You can find the GCD of 317, 177, 46, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.