GCD of 819, 342, 71, 275 Calculator

Given Input numbers are 819, 342, 71, 275

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

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 819, 342, 71, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 342, 71, 275 is 1.

Therefore, GCD of numbers 819, 342, 71, 275 is 1

Given Input Data is 819, 342, 71, 275

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

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 71 is 71

Prime Factorization of 275 is 5 x 5 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(819, 342) = 31122

GCD(819, 342) = ( 819 x 342 ) / 31122

GCD(819, 342) = 280098 / 31122

GCD(819, 342) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 71

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

LCM(9, 71) = 639

GCD(9, 71) = ( 9 x 71 ) / 639

GCD(9, 71) = 639 / 639

GCD(9, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 819, 342, 71, 275 is 1

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• GCD of 354, 950, 25, 910
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1. What is the GCD of 819, 342, 71, 275?

GCD of 819, 342, 71, 275 is 1

2. Where do I get the detailed procedure to find GCD of 819, 342, 71, 275?

You can find a detailed procedure to find GCD of 819, 342, 71, 275 on our page.

3. How to find GCD of 819, 342, 71, 275 on a calculator?

You can find the GCD of 819, 342, 71, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.