GCD of 21, 682, 234, 103 Calculator

Given Input numbers are 21, 682, 234, 103

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 21, 682, 234, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 682, 234, 103 is 1.

Therefore, GCD of numbers 21, 682, 234, 103 is 1

Given Input Data is 21, 682, 234, 103

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 103 is 103

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(21, 682) = 14322

GCD(21, 682) = ( 21 x 682 ) / 14322

GCD(21, 682) = 14322 / 14322

GCD(21, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 21, 682, 234, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 806, 287, 165
• GCD of 91, 646, 636, 566
• GCD of 16, 206, 928, 375
• GCD of 72, 804, 514, 511
• GCD of 74, 165, 132, 961

1. What is the GCD of 21, 682, 234, 103?

GCD of 21, 682, 234, 103 is 1

2. Where do I get the detailed procedure to find GCD of 21, 682, 234, 103?

You can find a detailed procedure to find GCD of 21, 682, 234, 103 on our page.

3. How to find GCD of 21, 682, 234, 103 on a calculator?

You can find the GCD of 21, 682, 234, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.