GCD of 89, 9, 80, 31 Calculator

Given Input numbers are 89, 9, 80, 31

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

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

Greatest Common Divisior

We found the divisors of 89, 9, 80, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 9, 80, 31 is 1.

Therefore, GCD of numbers 89, 9, 80, 31 is 1

Given Input Data is 89, 9, 80, 31

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 89 is 89

Prime Factorization of 9 is 3 x 3

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 31 is 31

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(89, 9) = 801

GCD(89, 9) = ( 89 x 9 ) / 801

GCD(89, 9) = 801 / 801

GCD(89, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

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

GCD of 89, 9, 80, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 6, 29, 84
• GCD of 91, 5, 20, 61
• GCD of 20, 9, 15, 93
• GCD of 67, 5, 11, 47
• GCD of 44, 3, 69, 94

1. What is the GCD of 89, 9, 80, 31?

GCD of 89, 9, 80, 31 is 1

2. Where do I get the detailed procedure to find GCD of 89, 9, 80, 31?

You can find a detailed procedure to find GCD of 89, 9, 80, 31 on our page.

3. How to find GCD of 89, 9, 80, 31 on a calculator?

You can find the GCD of 89, 9, 80, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.