GCD of 867, 384, 308, 513 Calculator

Given Input numbers are 867, 384, 308, 513

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 867, 384, 308, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 384, 308, 513 is 1.

Therefore, GCD of numbers 867, 384, 308, 513 is 1

Given Input Data is 867, 384, 308, 513

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

Prime Factorization of 867 is 3 x 17 x 17

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 513 is 3 x 3 x 3 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(867, 384) = 110976

GCD(867, 384) = ( 867 x 384 ) / 110976

GCD(867, 384) = 332928 / 110976

GCD(867, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 308

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

LCM(3, 308) = 924

GCD(3, 308) = ( 3 x 308 ) / 924

GCD(3, 308) = 924 / 924

GCD(3, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 867, 384, 308, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 100, 782, 930
• GCD of 576, 565, 876, 512
• GCD of 961, 999, 457, 629
• GCD of 450, 347, 866, 639
• GCD of 374, 290, 145, 920

1. What is the GCD of 867, 384, 308, 513?

GCD of 867, 384, 308, 513 is 1

2. Where do I get the detailed procedure to find GCD of 867, 384, 308, 513?

You can find a detailed procedure to find GCD of 867, 384, 308, 513 on our page.

3. How to find GCD of 867, 384, 308, 513 on a calculator?

You can find the GCD of 867, 384, 308, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.