GCD of 269, 266, 24, 383 Calculator

Given Input numbers are 269, 266, 24, 383

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 269, 266, 24, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 266, 24, 383 is 1.

Therefore, GCD of numbers 269, 266, 24, 383 is 1

Given Input Data is 269, 266, 24, 383

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

Prime Factorization of 269 is 269

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 383 is 383

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(269, 266) = 71554

GCD(269, 266) = ( 269 x 266 ) / 71554

GCD(269, 266) = 71554 / 71554

GCD(269, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 269, 266, 24, 383 is 1

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1. What is the GCD of 269, 266, 24, 383?

GCD of 269, 266, 24, 383 is 1

2. Where do I get the detailed procedure to find GCD of 269, 266, 24, 383?

You can find a detailed procedure to find GCD of 269, 266, 24, 383 on our page.

3. How to find GCD of 269, 266, 24, 383 on a calculator?

You can find the GCD of 269, 266, 24, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.