GCD of 99, 21, 62, 17 Calculator

Given Input numbers are 99, 21, 62, 17

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 99, 21, 62, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 21, 62, 17 is 1.

Therefore, GCD of numbers 99, 21, 62, 17 is 1

Given Input Data is 99, 21, 62, 17

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 21 is 3 x 7

Prime Factorization of 62 is 2 x 31

Prime Factorization of 17 is 17

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, 21) = 693

GCD(99, 21) = ( 99 x 21 ) / 693

GCD(99, 21) = 2079 / 693

GCD(99, 21) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 62

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

LCM(3, 62) = 186

GCD(3, 62) = ( 3 x 62 ) / 186

GCD(3, 62) = 186 / 186

GCD(3, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 99, 21, 62, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 93, 67, 50
• GCD of 93, 89, 48, 29
• GCD of 50, 85, 68, 92
• GCD of 84, 30, 20, 22
• GCD of 14, 64, 99, 59

1. What is the GCD of 99, 21, 62, 17?

GCD of 99, 21, 62, 17 is 1

2. Where do I get the detailed procedure to find GCD of 99, 21, 62, 17?

You can find a detailed procedure to find GCD of 99, 21, 62, 17 on our page.

3. How to find GCD of 99, 21, 62, 17 on a calculator?

You can find the GCD of 99, 21, 62, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.