GCD of 102, 955, 48, 361 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 102, 955, 48, 361 i.e. 1 largest integer that divides all the numbers equally.

GCD of 102, 955, 48, 361 is 1

GCD(102, 955, 48, 361) = 1

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

GCD of

GCD of numbers 102, 955, 48, 361 is 1

GCD(102, 955, 48, 361) = 1

GCD of 102,955,48,361 Calculator

GCDof 102,955,48,361 is 1

Given Input numbers are 102, 955, 48, 361

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 102, 955, 48, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 955, 48, 361 is 1.

Therefore, GCD of numbers 102, 955, 48, 361 is 1

Finding GCD of 102, 955, 48, 361 using Prime Factorization

Given Input Data is 102, 955, 48, 361

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 955 is 5 x 191

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 361 is 19 x 19

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

Finding GCD of 102, 955, 48, 361 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(102, 955) = 97410

GCD(102, 955) = ( 102 x 955 ) / 97410

GCD(102, 955) = 97410 / 97410

GCD(102, 955) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 102, 955, 48, 361 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 102, 955, 48, 361

1. What is the GCD of 102, 955, 48, 361?

GCD of 102, 955, 48, 361 is 1


2. Where do I get the detailed procedure to find GCD of 102, 955, 48, 361?

You can find a detailed procedure to find GCD of 102, 955, 48, 361 on our page.


3. How to find GCD of 102, 955, 48, 361 on a calculator?

You can find the GCD of 102, 955, 48, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.