GCD of 272, 963, 99, 105 Calculator

Given Input numbers are 272, 963, 99, 105

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 272, 963, 99, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 963, 99, 105 is 1.

Therefore, GCD of numbers 272, 963, 99, 105 is 1

Given Input Data is 272, 963, 99, 105

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 105 is 3 x 5 x 7

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(272, 963) = 261936

GCD(272, 963) = ( 272 x 963 ) / 261936

GCD(272, 963) = 261936 / 261936

GCD(272, 963) = 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 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 272, 963, 99, 105 is 1

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1. What is the GCD of 272, 963, 99, 105?

GCD of 272, 963, 99, 105 is 1

2. Where do I get the detailed procedure to find GCD of 272, 963, 99, 105?

You can find a detailed procedure to find GCD of 272, 963, 99, 105 on our page.

3. How to find GCD of 272, 963, 99, 105 on a calculator?

You can find the GCD of 272, 963, 99, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.