GCD of 682, 499, 38, 111 Calculator

Given Input numbers are 682, 499, 38, 111

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

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 682, 499, 38, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 499, 38, 111 is 1.

Therefore, GCD of numbers 682, 499, 38, 111 is 1

Given Input Data is 682, 499, 38, 111

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 499 is 499

Prime Factorization of 38 is 2 x 19

Prime Factorization of 111 is 3 x 37

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(682, 499) = 340318

GCD(682, 499) = ( 682 x 499 ) / 340318

GCD(682, 499) = 340318 / 340318

GCD(682, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 682, 499, 38, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 467, 96, 447
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• GCD of 945, 522, 33, 145

1. What is the GCD of 682, 499, 38, 111?

GCD of 682, 499, 38, 111 is 1

2. Where do I get the detailed procedure to find GCD of 682, 499, 38, 111?

You can find a detailed procedure to find GCD of 682, 499, 38, 111 on our page.

3. How to find GCD of 682, 499, 38, 111 on a calculator?

You can find the GCD of 682, 499, 38, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.