GCD of 318, 590, 95, 714 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 318, 590, 95, 714 i.e. 1 largest integer that divides all the numbers equally.

GCD of 318, 590, 95, 714 is 1

GCD(318, 590, 95, 714) = 1

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

GCD of

GCD of numbers 318, 590, 95, 714 is 1

GCD(318, 590, 95, 714) = 1

GCD of 318,590,95,714 Calculator

GCDof 318,590,95,714 is 1

Given Input numbers are 318, 590, 95, 714

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 318, 590, 95, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 590, 95, 714 is 1.

Therefore, GCD of numbers 318, 590, 95, 714 is 1

Finding GCD of 318, 590, 95, 714 using Prime Factorization

Given Input Data is 318, 590, 95, 714

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 95 is 5 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

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

Finding GCD of 318, 590, 95, 714 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(318, 590) = 93810

GCD(318, 590) = ( 318 x 590 ) / 93810

GCD(318, 590) = 187620 / 93810

GCD(318, 590) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 318, 590, 95, 714 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 318, 590, 95, 714

1. What is the GCD of 318, 590, 95, 714?

GCD of 318, 590, 95, 714 is 1


2. Where do I get the detailed procedure to find GCD of 318, 590, 95, 714?

You can find a detailed procedure to find GCD of 318, 590, 95, 714 on our page.


3. How to find GCD of 318, 590, 95, 714 on a calculator?

You can find the GCD of 318, 590, 95, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.