GCD of 802, 366, 83, 686 Calculator

Given Input numbers are 802, 366, 83, 686

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

Divisors of 802

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

1, 2, 401, 802

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 802, 366, 83, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 366, 83, 686 is 1.

Therefore, GCD of numbers 802, 366, 83, 686 is 1

Given Input Data is 802, 366, 83, 686

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 83 is 83

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(802, 366) = 146766

GCD(802, 366) = ( 802 x 366 ) / 146766

GCD(802, 366) = 293532 / 146766

GCD(802, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 802, 366, 83, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 403, 97, 922
• GCD of 774, 970, 47, 259
• GCD of 960, 983, 54, 438
• GCD of 333, 354, 71, 627
• GCD of 544, 402, 84, 756

1. What is the GCD of 802, 366, 83, 686?

GCD of 802, 366, 83, 686 is 1

2. Where do I get the detailed procedure to find GCD of 802, 366, 83, 686?

You can find a detailed procedure to find GCD of 802, 366, 83, 686 on our page.

3. How to find GCD of 802, 366, 83, 686 on a calculator?

You can find the GCD of 802, 366, 83, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.