GCD of 793, 224, 21, 171 Calculator

Given Input numbers are 793, 224, 21, 171

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

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 21

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

1, 3, 7, 21

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 793, 224, 21, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 224, 21, 171 is 1.

Therefore, GCD of numbers 793, 224, 21, 171 is 1

Given Input Data is 793, 224, 21, 171

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

Prime Factorization of 793 is 13 x 61

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 171 is 3 x 3 x 19

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(793, 224) = 177632

GCD(793, 224) = ( 793 x 224 ) / 177632

GCD(793, 224) = 177632 / 177632

GCD(793, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 793, 224, 21, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 546, 67, 542
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1. What is the GCD of 793, 224, 21, 171?

GCD of 793, 224, 21, 171 is 1

2. Where do I get the detailed procedure to find GCD of 793, 224, 21, 171?

You can find a detailed procedure to find GCD of 793, 224, 21, 171 on our page.

3. How to find GCD of 793, 224, 21, 171 on a calculator?

You can find the GCD of 793, 224, 21, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.