GCD of 99, 3, 42, 10 Calculator

Given Input numbers are 99, 3, 42, 10

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 99, 3, 42, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 3, 42, 10 is 1.

Therefore, GCD of numbers 99, 3, 42, 10 is 1

Given Input Data is 99, 3, 42, 10

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 3 is 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 10 is 2 x 5

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, 3) = 99

GCD(99, 3) = ( 99 x 3 ) / 99

GCD(99, 3) = 297 / 99

GCD(99, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

GCD of 99, 3, 42, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 5, 32, 64
• GCD of 37, 7, 45, 14
• GCD of 32, 5, 51, 55
• GCD of 94, 4, 64, 67
• GCD of 51, 1, 79, 64

1. What is the GCD of 99, 3, 42, 10?

GCD of 99, 3, 42, 10 is 1

2. Where do I get the detailed procedure to find GCD of 99, 3, 42, 10?

You can find a detailed procedure to find GCD of 99, 3, 42, 10 on our page.

3. How to find GCD of 99, 3, 42, 10 on a calculator?

You can find the GCD of 99, 3, 42, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.