GCD of 810, 271, 86, 969 Calculator

Given Input numbers are 810, 271, 86, 969

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

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 810, 271, 86, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 271, 86, 969 is 1.

Therefore, GCD of numbers 810, 271, 86, 969 is 1

Given Input Data is 810, 271, 86, 969

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 271 is 271

Prime Factorization of 86 is 2 x 43

Prime Factorization of 969 is 3 x 17 x 19

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(810, 271) = 219510

GCD(810, 271) = ( 810 x 271 ) / 219510

GCD(810, 271) = 219510 / 219510

GCD(810, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 810, 271, 86, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 705, 18, 891
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• GCD of 490, 335, 54, 810

1. What is the GCD of 810, 271, 86, 969?

GCD of 810, 271, 86, 969 is 1

2. Where do I get the detailed procedure to find GCD of 810, 271, 86, 969?

You can find a detailed procedure to find GCD of 810, 271, 86, 969 on our page.

3. How to find GCD of 810, 271, 86, 969 on a calculator?

You can find the GCD of 810, 271, 86, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.