GCD of 89, 10, 54, 31 Calculator

Given Input numbers are 89, 10, 54, 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 10

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

1, 2, 5, 10

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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, 10, 54, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 10, 54, 31 is 1.

Therefore, GCD of numbers 89, 10, 54, 31 is 1

Given Input Data is 89, 10, 54, 31

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

Prime Factorization of 89 is 89

Prime Factorization of 10 is 2 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

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, 10) = 890

GCD(89, 10) = ( 89 x 10 ) / 890

GCD(89, 10) = 890 / 890

GCD(89, 10) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 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, 10, 54, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 61, 32, 42
• GCD of 19, 55, 39, 49
• GCD of 19, 39, 98, 57
• GCD of 71, 76, 60, 23
• GCD of 89, 64, 89, 63

1. What is the GCD of 89, 10, 54, 31?

GCD of 89, 10, 54, 31 is 1

2. Where do I get the detailed procedure to find GCD of 89, 10, 54, 31?

You can find a detailed procedure to find GCD of 89, 10, 54, 31 on our page.

3. How to find GCD of 89, 10, 54, 31 on a calculator?

You can find the GCD of 89, 10, 54, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.