GCD of 99, 75, 51, 97 Calculator

Given Input numbers are 99, 75, 51, 97

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Greatest Common Divisior

We found the divisors of 99, 75, 51, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 75, 51, 97 is 1.

Therefore, GCD of numbers 99, 75, 51, 97 is 1

Given Input Data is 99, 75, 51, 97

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 51 is 3 x 17

Prime Factorization of 97 is 97

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(99, 75) = 2475

GCD(99, 75) = ( 99 x 75 ) / 2475

GCD(99, 75) = 7425 / 2475

GCD(99, 75) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 97

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

LCM(3, 97) = 291

GCD(3, 97) = ( 3 x 97 ) / 291

GCD(3, 97) = 291 / 291

GCD(3, 97) = 1

GCD of 99, 75, 51, 97 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 71, 91, 56
• GCD of 68, 22, 39, 62
• GCD of 14, 24, 97, 76
• GCD of 41, 73, 23, 76
• GCD of 34, 41, 66, 75

1. What is the GCD of 99, 75, 51, 97?

GCD of 99, 75, 51, 97 is 1

2. Where do I get the detailed procedure to find GCD of 99, 75, 51, 97?

You can find a detailed procedure to find GCD of 99, 75, 51, 97 on our page.

3. How to find GCD of 99, 75, 51, 97 on a calculator?

You can find the GCD of 99, 75, 51, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.