GCD of 286, 100, 21, 388 Calculator

Given Input numbers are 286, 100, 21, 388

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 21

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

1, 3, 7, 21

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 286, 100, 21, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 100, 21, 388 is 1.

Therefore, GCD of numbers 286, 100, 21, 388 is 1

Given Input Data is 286, 100, 21, 388

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 388 is 2 x 2 x 97

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(286, 100) = 14300

GCD(286, 100) = ( 286 x 100 ) / 14300

GCD(286, 100) = 28600 / 14300

GCD(286, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 286, 100, 21, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 618, 27, 658
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• GCD of 460, 376, 23, 430
• GCD of 224, 954, 38, 917

1. What is the GCD of 286, 100, 21, 388?

GCD of 286, 100, 21, 388 is 1

2. Where do I get the detailed procedure to find GCD of 286, 100, 21, 388?

You can find a detailed procedure to find GCD of 286, 100, 21, 388 on our page.

3. How to find GCD of 286, 100, 21, 388 on a calculator?

You can find the GCD of 286, 100, 21, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.