GCD of 264, 399, 238, 969 Calculator

Given Input numbers are 264, 399, 238, 969

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 264, 399, 238, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 399, 238, 969 is 1.

Therefore, GCD of numbers 264, 399, 238, 969 is 1

Given Input Data is 264, 399, 238, 969

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 238 is 2 x 7 x 17

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(264, 399) = 35112

GCD(264, 399) = ( 264 x 399 ) / 35112

GCD(264, 399) = 105336 / 35112

GCD(264, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 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 264, 399, 238, 969 is 1

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1. What is the GCD of 264, 399, 238, 969?

GCD of 264, 399, 238, 969 is 1

2. Where do I get the detailed procedure to find GCD of 264, 399, 238, 969?

You can find a detailed procedure to find GCD of 264, 399, 238, 969 on our page.

3. How to find GCD of 264, 399, 238, 969 on a calculator?

You can find the GCD of 264, 399, 238, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.