GCD of 99, 69, 91, 83 Calculator

Given Input numbers are 99, 69, 91, 83

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 99, 69, 91, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 69, 91, 83 is 1.

Therefore, GCD of numbers 99, 69, 91, 83 is 1

Given Input Data is 99, 69, 91, 83

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 69 is 3 x 23

Prime Factorization of 91 is 7 x 13

Prime Factorization of 83 is 83

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, 69) = 2277

GCD(99, 69) = ( 99 x 69 ) / 2277

GCD(99, 69) = 6831 / 2277

GCD(99, 69) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 99, 69, 91, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 24, 17, 61
• GCD of 71, 80, 88, 26
• GCD of 98, 98, 38, 52
• GCD of 32, 51, 52, 67
• GCD of 83, 99, 49, 33

1. What is the GCD of 99, 69, 91, 83?

GCD of 99, 69, 91, 83 is 1

2. Where do I get the detailed procedure to find GCD of 99, 69, 91, 83?

You can find a detailed procedure to find GCD of 99, 69, 91, 83 on our page.

3. How to find GCD of 99, 69, 91, 83 on a calculator?

You can find the GCD of 99, 69, 91, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.