GCD of 821, 802, 517, 204 Calculator

Given Input numbers are 821, 802, 517, 204

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 802

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

1, 2, 401, 802

Divisors of 517

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

1, 11, 47, 517

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 821, 802, 517, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 802, 517, 204 is 1.

Therefore, GCD of numbers 821, 802, 517, 204 is 1

Given Input Data is 821, 802, 517, 204

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

Prime Factorization of 821 is 821

Prime Factorization of 802 is 2 x 401

Prime Factorization of 517 is 11 x 47

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(821, 802) = 658442

GCD(821, 802) = ( 821 x 802 ) / 658442

GCD(821, 802) = 658442 / 658442

GCD(821, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 821, 802, 517, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 568, 760, 203
• GCD of 424, 175, 516, 163
• GCD of 632, 430, 852, 793
• GCD of 628, 941, 776, 228
• GCD of 791, 934, 392, 756

1. What is the GCD of 821, 802, 517, 204?

GCD of 821, 802, 517, 204 is 1

2. Where do I get the detailed procedure to find GCD of 821, 802, 517, 204?

You can find a detailed procedure to find GCD of 821, 802, 517, 204 on our page.

3. How to find GCD of 821, 802, 517, 204 on a calculator?

You can find the GCD of 821, 802, 517, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.