GCD of 99, 80, 31, 42 Calculator

Given Input numbers are 99, 80, 31, 42

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 42

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

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

Greatest Common Divisior

We found the divisors of 99, 80, 31, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 80, 31, 42 is 1.

Therefore, GCD of numbers 99, 80, 31, 42 is 1

Given Input Data is 99, 80, 31, 42

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 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 42 is 2 x 3 x 7

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, 80) = 7920

GCD(99, 80) = ( 99 x 80 ) / 7920

GCD(99, 80) = 7920 / 7920

GCD(99, 80) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 99, 80, 31, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 36, 43, 86
• GCD of 63, 11, 59, 92
• GCD of 25, 56, 15, 13
• GCD of 19, 76, 39, 53
• GCD of 38, 99, 55, 57

1. What is the GCD of 99, 80, 31, 42?

GCD of 99, 80, 31, 42 is 1

2. Where do I get the detailed procedure to find GCD of 99, 80, 31, 42?

You can find a detailed procedure to find GCD of 99, 80, 31, 42 on our page.

3. How to find GCD of 99, 80, 31, 42 on a calculator?

You can find the GCD of 99, 80, 31, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.