GCD of 772, 259, 93, 198 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 772, 259, 93, 198 i.e. 1 largest integer that divides all the numbers equally.

GCD of 772, 259, 93, 198 is 1

GCD(772, 259, 93, 198) = 1

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

GCD of

GCD of numbers 772, 259, 93, 198 is 1

GCD(772, 259, 93, 198) = 1

GCD of 772,259,93,198 Calculator

GCDof 772,259,93,198 is 1

Given Input numbers are 772, 259, 93, 198

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 772, 259, 93, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 259, 93, 198 is 1.

Therefore, GCD of numbers 772, 259, 93, 198 is 1

Finding GCD of 772, 259, 93, 198 using Prime Factorization

Given Input Data is 772, 259, 93, 198

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 259 is 7 x 37

Prime Factorization of 93 is 3 x 31

Prime Factorization of 198 is 2 x 3 x 3 x 11

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

Finding GCD of 772, 259, 93, 198 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(772, 259) = 199948

GCD(772, 259) = ( 772 x 259 ) / 199948

GCD(772, 259) = 199948 / 199948

GCD(772, 259) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 772, 259, 93, 198 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 772, 259, 93, 198

1. What is the GCD of 772, 259, 93, 198?

GCD of 772, 259, 93, 198 is 1


2. Where do I get the detailed procedure to find GCD of 772, 259, 93, 198?

You can find a detailed procedure to find GCD of 772, 259, 93, 198 on our page.


3. How to find GCD of 772, 259, 93, 198 on a calculator?

You can find the GCD of 772, 259, 93, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.