GCD of 371, 718, 65, 538 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 371, 718, 65, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 371, 718, 65, 538 is 1

GCD(371, 718, 65, 538) = 1

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

GCD of

GCD of numbers 371, 718, 65, 538 is 1

GCD(371, 718, 65, 538) = 1

GCD of 371,718,65,538 Calculator

GCDof 371,718,65,538 is 1

Given Input numbers are 371, 718, 65, 538

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 371, 718, 65, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 718, 65, 538 is 1.

Therefore, GCD of numbers 371, 718, 65, 538 is 1

Finding GCD of 371, 718, 65, 538 using Prime Factorization

Given Input Data is 371, 718, 65, 538

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 718 is 2 x 359

Prime Factorization of 65 is 5 x 13

Prime Factorization of 538 is 2 x 269

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

Finding GCD of 371, 718, 65, 538 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(371, 718) = 266378

GCD(371, 718) = ( 371 x 718 ) / 266378

GCD(371, 718) = 266378 / 266378

GCD(371, 718) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 371, 718, 65, 538 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 371, 718, 65, 538

1. What is the GCD of 371, 718, 65, 538?

GCD of 371, 718, 65, 538 is 1


2. Where do I get the detailed procedure to find GCD of 371, 718, 65, 538?

You can find a detailed procedure to find GCD of 371, 718, 65, 538 on our page.


3. How to find GCD of 371, 718, 65, 538 on a calculator?

You can find the GCD of 371, 718, 65, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.