GCD of 68, 164, 398, 773 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 68, 164, 398, 773 i.e. 1 largest integer that divides all the numbers equally.

GCD of 68, 164, 398, 773 is 1

GCD(68, 164, 398, 773) = 1

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

GCD of

GCD of numbers 68, 164, 398, 773 is 1

GCD(68, 164, 398, 773) = 1

GCD of 68,164,398,773 Calculator

GCDof 68,164,398,773 is 1

Given Input numbers are 68, 164, 398, 773

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 68, 164, 398, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 164, 398, 773 is 1.

Therefore, GCD of numbers 68, 164, 398, 773 is 1

Finding GCD of 68, 164, 398, 773 using Prime Factorization

Given Input Data is 68, 164, 398, 773

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 398 is 2 x 199

Prime Factorization of 773 is 773

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

Finding GCD of 68, 164, 398, 773 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(68, 164) = 2788

GCD(68, 164) = ( 68 x 164 ) / 2788

GCD(68, 164) = 11152 / 2788

GCD(68, 164) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 398

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

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

GCD(4, 398) = 1592 / 796

GCD(4, 398) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

GCD of 68, 164, 398, 773 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 68, 164, 398, 773

1. What is the GCD of 68, 164, 398, 773?

GCD of 68, 164, 398, 773 is 1


2. Where do I get the detailed procedure to find GCD of 68, 164, 398, 773?

You can find a detailed procedure to find GCD of 68, 164, 398, 773 on our page.


3. How to find GCD of 68, 164, 398, 773 on a calculator?

You can find the GCD of 68, 164, 398, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.