GCD of 901, 363, 78, 994 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 901, 363, 78, 994 i.e. 1 largest integer that divides all the numbers equally.

GCD of 901, 363, 78, 994 is 1

GCD(901, 363, 78, 994) = 1

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

GCD of

GCD of numbers 901, 363, 78, 994 is 1

GCD(901, 363, 78, 994) = 1

GCD of 901,363,78,994 Calculator

GCDof 901,363,78,994 is 1

Given Input numbers are 901, 363, 78, 994

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 901, 363, 78, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 363, 78, 994 is 1.

Therefore, GCD of numbers 901, 363, 78, 994 is 1

Finding GCD of 901, 363, 78, 994 using Prime Factorization

Given Input Data is 901, 363, 78, 994

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 994 is 2 x 7 x 71

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

Finding GCD of 901, 363, 78, 994 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(901, 363) = 327063

GCD(901, 363) = ( 901 x 363 ) / 327063

GCD(901, 363) = 327063 / 327063

GCD(901, 363) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 901, 363, 78, 994 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 901, 363, 78, 994

1. What is the GCD of 901, 363, 78, 994?

GCD of 901, 363, 78, 994 is 1


2. Where do I get the detailed procedure to find GCD of 901, 363, 78, 994?

You can find a detailed procedure to find GCD of 901, 363, 78, 994 on our page.


3. How to find GCD of 901, 363, 78, 994 on a calculator?

You can find the GCD of 901, 363, 78, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.