GCD of 210, 489, 26, 969 Calculator

Given Input numbers are 210, 489, 26, 969

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 210, 489, 26, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 489, 26, 969 is 1.

Therefore, GCD of numbers 210, 489, 26, 969 is 1

Given Input Data is 210, 489, 26, 969

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 489 is 3 x 163

Prime Factorization of 26 is 2 x 13

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(210, 489) = 34230

GCD(210, 489) = ( 210 x 489 ) / 34230

GCD(210, 489) = 102690 / 34230

GCD(210, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 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 210, 489, 26, 969 is 1

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1. What is the GCD of 210, 489, 26, 969?

GCD of 210, 489, 26, 969 is 1

2. Where do I get the detailed procedure to find GCD of 210, 489, 26, 969?

You can find a detailed procedure to find GCD of 210, 489, 26, 969 on our page.

3. How to find GCD of 210, 489, 26, 969 on a calculator?

You can find the GCD of 210, 489, 26, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.