GCD of 989, 442, 217, 810 Calculator

Given Input numbers are 989, 442, 217, 810

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Greatest Common Divisior

We found the divisors of 989, 442, 217, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 442, 217, 810 is 1.

Therefore, GCD of numbers 989, 442, 217, 810 is 1

Given Input Data is 989, 442, 217, 810

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 217 is 7 x 31

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 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(989, 442) = 437138

GCD(989, 442) = ( 989 x 442 ) / 437138

GCD(989, 442) = 437138 / 437138

GCD(989, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

GCD of 989, 442, 217, 810 is 1

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1. What is the GCD of 989, 442, 217, 810?

GCD of 989, 442, 217, 810 is 1

2. Where do I get the detailed procedure to find GCD of 989, 442, 217, 810?

You can find a detailed procedure to find GCD of 989, 442, 217, 810 on our page.

3. How to find GCD of 989, 442, 217, 810 on a calculator?

You can find the GCD of 989, 442, 217, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.