GCD of 803, 102, 682, 279 Calculator

Given Input numbers are 803, 102, 682, 279

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 803, 102, 682, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 102, 682, 279 is 1.

Therefore, GCD of numbers 803, 102, 682, 279 is 1

Given Input Data is 803, 102, 682, 279

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 279 is 3 x 3 x 31

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(803, 102) = 81906

GCD(803, 102) = ( 803 x 102 ) / 81906

GCD(803, 102) = 81906 / 81906

GCD(803, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 803, 102, 682, 279 is 1

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1. What is the GCD of 803, 102, 682, 279?

GCD of 803, 102, 682, 279 is 1

2. Where do I get the detailed procedure to find GCD of 803, 102, 682, 279?

You can find a detailed procedure to find GCD of 803, 102, 682, 279 on our page.

3. How to find GCD of 803, 102, 682, 279 on a calculator?

You can find the GCD of 803, 102, 682, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.