GCD of 614, 364, 693 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 614, 364, 693 i.e. 1 largest integer that divides all the numbers equally.

GCD of 614, 364, 693 is 1

GCD(614, 364, 693) = 1

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

GCD of

GCD of numbers 614, 364, 693 is 1

GCD(614, 364, 693) = 1

GCD of 614,364,693 Calculator

GCDof 614,364,693 is 1

Given Input numbers are 614, 364, 693

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 614, 364, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 364, 693 is 1.

Therefore, GCD of numbers 614, 364, 693 is 1

Finding GCD of 614, 364, 693 using Prime Factorization

Given Input Data is 614, 364, 693

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 693 is 3 x 3 x 7 x 11

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

Finding GCD of 614, 364, 693 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(614, 364) = 111748

GCD(614, 364) = ( 614 x 364 ) / 111748

GCD(614, 364) = 223496 / 111748

GCD(614, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 614, 364, 693 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 614, 364, 693

1. What is the GCD of 614, 364, 693?

GCD of 614, 364, 693 is 1

2. Where do I get the detailed procedure to find GCD of 614, 364, 693?

You can find a detailed procedure to find GCD of 614, 364, 693 on our page.

3. How to find GCD of 614, 364, 693 on a calculator?

You can find the GCD of 614, 364, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.