GCD of 38, 775, 819, 171 Calculator

Given Input numbers are 38, 775, 819, 171

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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 38, 775, 819, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 775, 819, 171 is 1.

Therefore, GCD of numbers 38, 775, 819, 171 is 1

Given Input Data is 38, 775, 819, 171

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(38, 775) = 29450

GCD(38, 775) = ( 38 x 775 ) / 29450

GCD(38, 775) = 29450 / 29450

GCD(38, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 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 38, 775, 819, 171 is 1

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• GCD of 61, 833, 880, 250
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1. What is the GCD of 38, 775, 819, 171?

GCD of 38, 775, 819, 171 is 1

2. Where do I get the detailed procedure to find GCD of 38, 775, 819, 171?

You can find a detailed procedure to find GCD of 38, 775, 819, 171 on our page.

3. How to find GCD of 38, 775, 819, 171 on a calculator?

You can find the GCD of 38, 775, 819, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.