GCD of 387, 912, 322, 269 Calculator

Given Input numbers are 387, 912, 322, 269

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 269

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

1, 269

Greatest Common Divisior

We found the divisors of 387, 912, 322, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 912, 322, 269 is 1.

Therefore, GCD of numbers 387, 912, 322, 269 is 1

Given Input Data is 387, 912, 322, 269

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 269 is 269

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(387, 912) = 117648

GCD(387, 912) = ( 387 x 912 ) / 117648

GCD(387, 912) = 352944 / 117648

GCD(387, 912) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 322

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

LCM(3, 322) = 966

GCD(3, 322) = ( 3 x 322 ) / 966

GCD(3, 322) = 966 / 966

GCD(3, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 387, 912, 322, 269 is 1

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1. What is the GCD of 387, 912, 322, 269?

GCD of 387, 912, 322, 269 is 1

2. Where do I get the detailed procedure to find GCD of 387, 912, 322, 269?

You can find a detailed procedure to find GCD of 387, 912, 322, 269 on our page.

3. How to find GCD of 387, 912, 322, 269 on a calculator?

You can find the GCD of 387, 912, 322, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.