GCD of 148, 663, 788, 199 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 148, 663, 788, 199 i.e. 1 largest integer that divides all the numbers equally.

GCD of 148, 663, 788, 199 is 1

GCD(148, 663, 788, 199) = 1

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

GCD of

GCD of numbers 148, 663, 788, 199 is 1

GCD(148, 663, 788, 199) = 1

GCD of 148,663,788,199 Calculator

GCDof 148,663,788,199 is 1

Given Input numbers are 148, 663, 788, 199

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 148, 663, 788, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 663, 788, 199 is 1.

Therefore, GCD of numbers 148, 663, 788, 199 is 1

Finding GCD of 148, 663, 788, 199 using Prime Factorization

Given Input Data is 148, 663, 788, 199

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 199 is 199

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

Finding GCD of 148, 663, 788, 199 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(148, 663) = 98124

GCD(148, 663) = ( 148 x 663 ) / 98124

GCD(148, 663) = 98124 / 98124

GCD(148, 663) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 148, 663, 788, 199 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 148, 663, 788, 199

1. What is the GCD of 148, 663, 788, 199?

GCD of 148, 663, 788, 199 is 1


2. Where do I get the detailed procedure to find GCD of 148, 663, 788, 199?

You can find a detailed procedure to find GCD of 148, 663, 788, 199 on our page.


3. How to find GCD of 148, 663, 788, 199 on a calculator?

You can find the GCD of 148, 663, 788, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.