GCD of 697, 385, 49, 658 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 697, 385, 49, 658 i.e. 1 largest integer that divides all the numbers equally.

GCD of 697, 385, 49, 658 is 1

GCD(697, 385, 49, 658) = 1

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

GCD of

GCD of numbers 697, 385, 49, 658 is 1

GCD(697, 385, 49, 658) = 1

GCD of 697,385,49,658 Calculator

GCDof 697,385,49,658 is 1

Given Input numbers are 697, 385, 49, 658

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 697, 385, 49, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 385, 49, 658 is 1.

Therefore, GCD of numbers 697, 385, 49, 658 is 1

Finding GCD of 697, 385, 49, 658 using Prime Factorization

Given Input Data is 697, 385, 49, 658

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 658 is 2 x 7 x 47

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

Finding GCD of 697, 385, 49, 658 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(697, 385) = 268345

GCD(697, 385) = ( 697 x 385 ) / 268345

GCD(697, 385) = 268345 / 268345

GCD(697, 385) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 697, 385, 49, 658 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 697, 385, 49, 658

1. What is the GCD of 697, 385, 49, 658?

GCD of 697, 385, 49, 658 is 1


2. Where do I get the detailed procedure to find GCD of 697, 385, 49, 658?

You can find a detailed procedure to find GCD of 697, 385, 49, 658 on our page.


3. How to find GCD of 697, 385, 49, 658 on a calculator?

You can find the GCD of 697, 385, 49, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.