GCD of 969, 506, 669, 255 Calculator

Given Input numbers are 969, 506, 669, 255

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

Divisors of 969

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

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 255

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

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

Greatest Common Divisior

We found the divisors of 969, 506, 669, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 506, 669, 255 is 1.

Therefore, GCD of numbers 969, 506, 669, 255 is 1

Given Input Data is 969, 506, 669, 255

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 669 is 3 x 223

Prime Factorization of 255 is 3 x 5 x 17

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(969, 506) = 490314

GCD(969, 506) = ( 969 x 506 ) / 490314

GCD(969, 506) = 490314 / 490314

GCD(969, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 969, 506, 669, 255 is 1

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1. What is the GCD of 969, 506, 669, 255?

GCD of 969, 506, 669, 255 is 1

2. Where do I get the detailed procedure to find GCD of 969, 506, 669, 255?

You can find a detailed procedure to find GCD of 969, 506, 669, 255 on our page.

3. How to find GCD of 969, 506, 669, 255 on a calculator?

You can find the GCD of 969, 506, 669, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.