GCD of 110, 720, 19, 308 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 110, 720, 19, 308 i.e. 1 largest integer that divides all the numbers equally.

GCD of 110, 720, 19, 308 is 1

GCD(110, 720, 19, 308) = 1

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

GCD of

GCD of numbers 110, 720, 19, 308 is 1

GCD(110, 720, 19, 308) = 1

GCD of 110,720,19,308 Calculator

GCDof 110,720,19,308 is 1

Given Input numbers are 110, 720, 19, 308

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 110, 720, 19, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 720, 19, 308 is 1.

Therefore, GCD of numbers 110, 720, 19, 308 is 1

Finding GCD of 110, 720, 19, 308 using Prime Factorization

Given Input Data is 110, 720, 19, 308

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 19 is 19

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

Finding GCD of 110, 720, 19, 308 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(110, 720) = 7920

GCD(110, 720) = ( 110 x 720 ) / 7920

GCD(110, 720) = 79200 / 7920

GCD(110, 720) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 19

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

LCM(10, 19) = 190

GCD(10, 19) = ( 10 x 19 ) / 190

GCD(10, 19) = 190 / 190

GCD(10, 19) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 110, 720, 19, 308 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 110, 720, 19, 308

1. What is the GCD of 110, 720, 19, 308?

GCD of 110, 720, 19, 308 is 1


2. Where do I get the detailed procedure to find GCD of 110, 720, 19, 308?

You can find a detailed procedure to find GCD of 110, 720, 19, 308 on our page.


3. How to find GCD of 110, 720, 19, 308 on a calculator?

You can find the GCD of 110, 720, 19, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.