GCD of 105, 773, 99, 961 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 105, 773, 99, 961 i.e. 1 largest integer that divides all the numbers equally.

GCD of 105, 773, 99, 961 is 1

GCD(105, 773, 99, 961) = 1

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

GCD of

GCD of numbers 105, 773, 99, 961 is 1

GCD(105, 773, 99, 961) = 1

GCD of 105,773,99,961 Calculator

GCDof 105,773,99,961 is 1

Given Input numbers are 105, 773, 99, 961

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 105, 773, 99, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 773, 99, 961 is 1.

Therefore, GCD of numbers 105, 773, 99, 961 is 1

Finding GCD of 105, 773, 99, 961 using Prime Factorization

Given Input Data is 105, 773, 99, 961

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 773 is 773

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 961 is 31 x 31

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

Finding GCD of 105, 773, 99, 961 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(105, 773) = 81165

GCD(105, 773) = ( 105 x 773 ) / 81165

GCD(105, 773) = 81165 / 81165

GCD(105, 773) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 105, 773, 99, 961 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 105, 773, 99, 961

1. What is the GCD of 105, 773, 99, 961?

GCD of 105, 773, 99, 961 is 1


2. Where do I get the detailed procedure to find GCD of 105, 773, 99, 961?

You can find a detailed procedure to find GCD of 105, 773, 99, 961 on our page.


3. How to find GCD of 105, 773, 99, 961 on a calculator?

You can find the GCD of 105, 773, 99, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.