GCD of 207, 810, 14, 969 Calculator

Given Input numbers are 207, 810, 14, 969

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 207, 810, 14, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 810, 14, 969 is 1.

Therefore, GCD of numbers 207, 810, 14, 969 is 1

Given Input Data is 207, 810, 14, 969

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

Prime Factorization of 207 is 3 x 3 x 23

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

Prime Factorization of 14 is 2 x 7

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(207, 810) = 18630

GCD(207, 810) = ( 207 x 810 ) / 18630

GCD(207, 810) = 167670 / 18630

GCD(207, 810) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 14

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

LCM(9, 14) = 126

GCD(9, 14) = ( 9 x 14 ) / 126

GCD(9, 14) = 126 / 126

GCD(9, 14) = 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 207, 810, 14, 969 is 1

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• GCD of 197, 726, 93, 867
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• GCD of 522, 255, 73, 618

1. What is the GCD of 207, 810, 14, 969?

GCD of 207, 810, 14, 969 is 1

2. Where do I get the detailed procedure to find GCD of 207, 810, 14, 969?

You can find a detailed procedure to find GCD of 207, 810, 14, 969 on our page.

3. How to find GCD of 207, 810, 14, 969 on a calculator?

You can find the GCD of 207, 810, 14, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.