GCD of 207, 666, 255, 969 Calculator

Given Input numbers are 207, 666, 255, 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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

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, 666, 255, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 666, 255, 969 is 3.

Therefore, GCD of numbers 207, 666, 255, 969 is 3

Given Input Data is 207, 666, 255, 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 666 is 2 x 3 x 3 x 37

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 969 is 3 x 17 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 666) = 15318

GCD(207, 666) = ( 207 x 666 ) / 15318

GCD(207, 666) = 137862 / 15318

GCD(207, 666) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 255

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

LCM(9, 255) = 765

GCD(9, 255) = ( 9 x 255 ) / 765

GCD(9, 255) = 2295 / 765

GCD(9, 255) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 969

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

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

GCD(3, 969) = 2907 / 969

GCD(3, 969) = 3

GCD of 207, 666, 255, 969 is 3

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1. What is the GCD of 207, 666, 255, 969?

GCD of 207, 666, 255, 969 is 3

2. Where do I get the detailed procedure to find GCD of 207, 666, 255, 969?

You can find a detailed procedure to find GCD of 207, 666, 255, 969 on our page.

3. How to find GCD of 207, 666, 255, 969 on a calculator?

You can find the GCD of 207, 666, 255, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.