GCD of 21, 418, 396, 332 Calculator

Given Input numbers are 21, 418, 396, 332

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 21, 418, 396, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 418, 396, 332 is 1.

Therefore, GCD of numbers 21, 418, 396, 332 is 1

Given Input Data is 21, 418, 396, 332

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 332 is 2 x 2 x 83

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, 418) = 8778

GCD(21, 418) = ( 21 x 418 ) / 8778

GCD(21, 418) = 8778 / 8778

GCD(21, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 21, 418, 396, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 136, 661, 179
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• GCD of 55, 935, 277, 190
• GCD of 28, 397, 539, 431
• GCD of 26, 851, 172, 713

1. What is the GCD of 21, 418, 396, 332?

GCD of 21, 418, 396, 332 is 1

2. Where do I get the detailed procedure to find GCD of 21, 418, 396, 332?

You can find a detailed procedure to find GCD of 21, 418, 396, 332 on our page.

3. How to find GCD of 21, 418, 396, 332 on a calculator?

You can find the GCD of 21, 418, 396, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.