GCD of 357, 493, 701 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 357, 493, 701 i.e. 1 largest integer that divides all the numbers equally.

GCD of 357, 493, 701 is 1

GCD(357, 493, 701) = 1

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

GCD of

GCD of numbers 357, 493, 701 is 1

GCD(357, 493, 701) = 1

GCD of 357,493,701 Calculator

GCDof 357,493,701 is 1

Given Input numbers are 357, 493, 701

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 701

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

1, 701

Greatest Common Divisior

We found the divisors of 357, 493, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 493, 701 is 1.

Therefore, GCD of numbers 357, 493, 701 is 1

Finding GCD of 357, 493, 701 using Prime Factorization

Given Input Data is 357, 493, 701

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 701 is 701

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

Finding GCD of 357, 493, 701 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(357, 493) = 10353

GCD(357, 493) = ( 357 x 493 ) / 10353

GCD(357, 493) = 176001 / 10353

GCD(357, 493) = 17


Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 701

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

LCM(17, 701) = 11917

GCD(17, 701) = ( 17 x 701 ) / 11917

GCD(17, 701) = 11917 / 11917

GCD(17, 701) = 1

GCD of 357, 493, 701 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 357, 493, 701

1. What is the GCD of 357, 493, 701?

GCD of 357, 493, 701 is 1


2. Where do I get the detailed procedure to find GCD of 357, 493, 701?

You can find a detailed procedure to find GCD of 357, 493, 701 on our page.


3. How to find GCD of 357, 493, 701 on a calculator?

You can find the GCD of 357, 493, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.