GCD of 517, 384, 65, 802 Calculator

Given Input numbers are 517, 384, 65, 802

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 517, 384, 65, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 384, 65, 802 is 1.

Therefore, GCD of numbers 517, 384, 65, 802 is 1

Given Input Data is 517, 384, 65, 802

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

Prime Factorization of 517 is 11 x 47

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 802 is 2 x 401

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(517, 384) = 198528

GCD(517, 384) = ( 517 x 384 ) / 198528

GCD(517, 384) = 198528 / 198528

GCD(517, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 517, 384, 65, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 230, 72, 737
• GCD of 283, 552, 14, 202
• GCD of 363, 543, 41, 907
• GCD of 812, 133, 84, 741
• GCD of 119, 274, 50, 136

1. What is the GCD of 517, 384, 65, 802?

GCD of 517, 384, 65, 802 is 1

2. Where do I get the detailed procedure to find GCD of 517, 384, 65, 802?

You can find a detailed procedure to find GCD of 517, 384, 65, 802 on our page.

3. How to find GCD of 517, 384, 65, 802 on a calculator?

You can find the GCD of 517, 384, 65, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.