GCD of 494, 893, 21, 795 Calculator

Given Input numbers are 494, 893, 21, 795

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 21

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

1, 3, 7, 21

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 494, 893, 21, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 893, 21, 795 is 1.

Therefore, GCD of numbers 494, 893, 21, 795 is 1

Given Input Data is 494, 893, 21, 795

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 893 is 19 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 795 is 3 x 5 x 53

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(494, 893) = 23218

GCD(494, 893) = ( 494 x 893 ) / 23218

GCD(494, 893) = 441142 / 23218

GCD(494, 893) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 21

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

LCM(19, 21) = 399

GCD(19, 21) = ( 19 x 21 ) / 399

GCD(19, 21) = 399 / 399

GCD(19, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 494, 893, 21, 795 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 218, 54, 272
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• GCD of 355, 315, 61, 606

1. What is the GCD of 494, 893, 21, 795?

GCD of 494, 893, 21, 795 is 1

2. Where do I get the detailed procedure to find GCD of 494, 893, 21, 795?

You can find a detailed procedure to find GCD of 494, 893, 21, 795 on our page.

3. How to find GCD of 494, 893, 21, 795 on a calculator?

You can find the GCD of 494, 893, 21, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.