GCD of 785, 247, 15, 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 785, 247, 15, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 785, 247, 15, 320 is 1

GCD(785, 247, 15, 320) = 1

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

GCD of

GCD of numbers 785, 247, 15, 320 is 1

GCD(785, 247, 15, 320) = 1

GCD of 785,247,15,320 Calculator

GCDof 785,247,15,320 is 1

Given Input numbers are 785, 247, 15, 320

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 785, 247, 15, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 247, 15, 320 is 1.

Therefore, GCD of numbers 785, 247, 15, 320 is 1

Finding GCD of 785, 247, 15, 320 using Prime Factorization

Given Input Data is 785, 247, 15, 320

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 247 is 13 x 19

Prime Factorization of 15 is 3 x 5

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 785, 247, 15, 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(785, 247) = 193895

GCD(785, 247) = ( 785 x 247 ) / 193895

GCD(785, 247) = 193895 / 193895

GCD(785, 247) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 785, 247, 15, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 785, 247, 15, 320

1. What is the GCD of 785, 247, 15, 320?

GCD of 785, 247, 15, 320 is 1


2. Where do I get the detailed procedure to find GCD of 785, 247, 15, 320?

You can find a detailed procedure to find GCD of 785, 247, 15, 320 on our page.


3. How to find GCD of 785, 247, 15, 320 on a calculator?

You can find the GCD of 785, 247, 15, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.