GCD of 396, 807, 694, 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 396, 807, 694, 658 i.e. 1 largest integer that divides all the numbers equally.

GCD of 396, 807, 694, 658 is 1

GCD(396, 807, 694, 658) = 1

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

GCD of

GCD of numbers 396, 807, 694, 658 is 1

GCD(396, 807, 694, 658) = 1

GCD of 396,807,694,658 Calculator

GCDof 396,807,694,658 is 1

Given Input numbers are 396, 807, 694, 658

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 396, 807, 694, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 807, 694, 658 is 1.

Therefore, GCD of numbers 396, 807, 694, 658 is 1

Finding GCD of 396, 807, 694, 658 using Prime Factorization

Given Input Data is 396, 807, 694, 658

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 807 is 3 x 269

Prime Factorization of 694 is 2 x 347

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 396, 807, 694, 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(396, 807) = 106524

GCD(396, 807) = ( 396 x 807 ) / 106524

GCD(396, 807) = 319572 / 106524

GCD(396, 807) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 694

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

LCM(3, 694) = 2082

GCD(3, 694) = ( 3 x 694 ) / 2082

GCD(3, 694) = 2082 / 2082

GCD(3, 694) = 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 396, 807, 694, 658 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 396, 807, 694, 658

1. What is the GCD of 396, 807, 694, 658?

GCD of 396, 807, 694, 658 is 1


2. Where do I get the detailed procedure to find GCD of 396, 807, 694, 658?

You can find a detailed procedure to find GCD of 396, 807, 694, 658 on our page.


3. How to find GCD of 396, 807, 694, 658 on a calculator?

You can find the GCD of 396, 807, 694, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.