GCD of 963, 117, 113, 241 Calculator

Given Input numbers are 963, 117, 113, 241

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 963, 117, 113, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 117, 113, 241 is 1.

Therefore, GCD of numbers 963, 117, 113, 241 is 1

Given Input Data is 963, 117, 113, 241

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 113 is 113

Prime Factorization of 241 is 241

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

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(963, 117) = 12519

GCD(963, 117) = ( 963 x 117 ) / 12519

GCD(963, 117) = 112671 / 12519

GCD(963, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 113

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

LCM(9, 113) = 1017

GCD(9, 113) = ( 9 x 113 ) / 1017

GCD(9, 113) = 1017 / 1017

GCD(9, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 963, 117, 113, 241 is 1

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1. What is the GCD of 963, 117, 113, 241?

GCD of 963, 117, 113, 241 is 1

2. Where do I get the detailed procedure to find GCD of 963, 117, 113, 241?

You can find a detailed procedure to find GCD of 963, 117, 113, 241 on our page.

3. How to find GCD of 963, 117, 113, 241 on a calculator?

You can find the GCD of 963, 117, 113, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.