GCD of 21, 963, 446, 352 Calculator

Given Input numbers are 21, 963, 446, 352

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 21, 963, 446, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 963, 446, 352 is 1.

Therefore, GCD of numbers 21, 963, 446, 352 is 1

Given Input Data is 21, 963, 446, 352

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 446 is 2 x 223

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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, 963) = 6741

GCD(21, 963) = ( 21 x 963 ) / 6741

GCD(21, 963) = 20223 / 6741

GCD(21, 963) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 446

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

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

GCD(3, 446) = 1338 / 1338

GCD(3, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 21, 963, 446, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 237, 386, 722
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• GCD of 26, 596, 484, 105

1. What is the GCD of 21, 963, 446, 352?

GCD of 21, 963, 446, 352 is 1

2. Where do I get the detailed procedure to find GCD of 21, 963, 446, 352?

You can find a detailed procedure to find GCD of 21, 963, 446, 352 on our page.

3. How to find GCD of 21, 963, 446, 352 on a calculator?

You can find the GCD of 21, 963, 446, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.