GCD of 821, 986, 815, 355 Calculator

Given Input numbers are 821, 986, 815, 355

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 821, 986, 815, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 986, 815, 355 is 1.

Therefore, GCD of numbers 821, 986, 815, 355 is 1

Given Input Data is 821, 986, 815, 355

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

Prime Factorization of 821 is 821

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 815 is 5 x 163

Prime Factorization of 355 is 5 x 71

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, 986) = 809506

GCD(821, 986) = ( 821 x 986 ) / 809506

GCD(821, 986) = 809506 / 809506

GCD(821, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 821, 986, 815, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 760, 227, 316
• GCD of 759, 330, 744, 408
• GCD of 701, 583, 686, 318
• GCD of 312, 116, 882, 388
• GCD of 856, 767, 951, 228

1. What is the GCD of 821, 986, 815, 355?

GCD of 821, 986, 815, 355 is 1

2. Where do I get the detailed procedure to find GCD of 821, 986, 815, 355?

You can find a detailed procedure to find GCD of 821, 986, 815, 355 on our page.

3. How to find GCD of 821, 986, 815, 355 on a calculator?

You can find the GCD of 821, 986, 815, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.