GCD of 384, 510, 924, 271 Calculator

Given Input numbers are 384, 510, 924, 271

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 384, 510, 924, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 510, 924, 271 is 1.

Therefore, GCD of numbers 384, 510, 924, 271 is 1

Given Input Data is 384, 510, 924, 271

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 271 is 271

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(384, 510) = 32640

GCD(384, 510) = ( 384 x 510 ) / 32640

GCD(384, 510) = 195840 / 32640

GCD(384, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 924

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

LCM(6, 924) = 924

GCD(6, 924) = ( 6 x 924 ) / 924

GCD(6, 924) = 5544 / 924

GCD(6, 924) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 271

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

LCM(6, 271) = 1626

GCD(6, 271) = ( 6 x 271 ) / 1626

GCD(6, 271) = 1626 / 1626

GCD(6, 271) = 1

GCD of 384, 510, 924, 271 is 1

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• GCD of 397, 614, 646, 903
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1. What is the GCD of 384, 510, 924, 271?

GCD of 384, 510, 924, 271 is 1

2. Where do I get the detailed procedure to find GCD of 384, 510, 924, 271?

You can find a detailed procedure to find GCD of 384, 510, 924, 271 on our page.

3. How to find GCD of 384, 510, 924, 271 on a calculator?

You can find the GCD of 384, 510, 924, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.