GCD of 68, 792, 435, 320 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, 792, 435, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 68, 792, 435, 320 is 1

GCD(68, 792, 435, 320) = 1

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

GCD of

GCD of numbers 68, 792, 435, 320 is 1

GCD(68, 792, 435, 320) = 1

GCD of 68,792,435,320 Calculator

GCDof 68,792,435,320 is 1

Given Input numbers are 68, 792, 435, 320

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 68, 792, 435, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 792, 435, 320 is 1.

Therefore, GCD of numbers 68, 792, 435, 320 is 1

Finding GCD of 68, 792, 435, 320 using Prime Factorization

Given Input Data is 68, 792, 435, 320

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Finding GCD of 68, 792, 435, 320 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, 792) = 13464

GCD(68, 792) = ( 68 x 792 ) / 13464

GCD(68, 792) = 53856 / 13464

GCD(68, 792) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 435

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

LCM(4, 435) = 1740

GCD(4, 435) = ( 4 x 435 ) / 1740

GCD(4, 435) = 1740 / 1740

GCD(4, 435) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 68, 792, 435, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 68, 792, 435, 320

1. What is the GCD of 68, 792, 435, 320?

GCD of 68, 792, 435, 320 is 1


2. Where do I get the detailed procedure to find GCD of 68, 792, 435, 320?

You can find a detailed procedure to find GCD of 68, 792, 435, 320 on our page.


3. How to find GCD of 68, 792, 435, 320 on a calculator?

You can find the GCD of 68, 792, 435, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.