GCD of 701, 427, 14, 717 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 701, 427, 14, 717 i.e. 1 largest integer that divides all the numbers equally.

GCD of 701, 427, 14, 717 is 1

GCD(701, 427, 14, 717) = 1

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

GCD of

GCD of numbers 701, 427, 14, 717 is 1

GCD(701, 427, 14, 717) = 1

GCD of 701,427,14,717 Calculator

GCDof 701,427,14,717 is 1

Given Input numbers are 701, 427, 14, 717

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 427

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

1, 7, 61, 427

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 701, 427, 14, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 427, 14, 717 is 1.

Therefore, GCD of numbers 701, 427, 14, 717 is 1

Finding GCD of 701, 427, 14, 717 using Prime Factorization

Given Input Data is 701, 427, 14, 717

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

Prime Factorization of 701 is 701

Prime Factorization of 427 is 7 x 61

Prime Factorization of 14 is 2 x 7

Prime Factorization of 717 is 3 x 239

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

Finding GCD of 701, 427, 14, 717 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(701, 427) = 299327

GCD(701, 427) = ( 701 x 427 ) / 299327

GCD(701, 427) = 299327 / 299327

GCD(701, 427) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 701, 427, 14, 717 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 701, 427, 14, 717

1. What is the GCD of 701, 427, 14, 717?

GCD of 701, 427, 14, 717 is 1


2. Where do I get the detailed procedure to find GCD of 701, 427, 14, 717?

You can find a detailed procedure to find GCD of 701, 427, 14, 717 on our page.


3. How to find GCD of 701, 427, 14, 717 on a calculator?

You can find the GCD of 701, 427, 14, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.