GCD of 99, 78, 77, 33 Calculator

Given Input numbers are 99, 78, 77, 33

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 78

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

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 99, 78, 77, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 78, 77, 33 is 1.

Therefore, GCD of numbers 99, 78, 77, 33 is 1

Given Input Data is 99, 78, 77, 33

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 78 is 2 x 3 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 33 is 3 x 11

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, 78) = 2574

GCD(99, 78) = ( 99 x 78 ) / 2574

GCD(99, 78) = 7722 / 2574

GCD(99, 78) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

GCD of 99, 78, 77, 33 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 89, 82, 40
• GCD of 33, 21, 54, 67
• GCD of 84, 51, 96, 42
• GCD of 12, 18, 37, 35
• GCD of 50, 28, 37, 52

1. What is the GCD of 99, 78, 77, 33?

GCD of 99, 78, 77, 33 is 1

2. Where do I get the detailed procedure to find GCD of 99, 78, 77, 33?

You can find a detailed procedure to find GCD of 99, 78, 77, 33 on our page.

3. How to find GCD of 99, 78, 77, 33 on a calculator?

You can find the GCD of 99, 78, 77, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.