GCD of 361, 991, 706, 819 Calculator

Given Input numbers are 361, 991, 706, 819

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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

Greatest Common Divisior

We found the divisors of 361, 991, 706, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 991, 706, 819 is 1.

Therefore, GCD of numbers 361, 991, 706, 819 is 1

Given Input Data is 361, 991, 706, 819

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 991 is 991

Prime Factorization of 706 is 2 x 353

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

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(361, 991) = 357751

GCD(361, 991) = ( 361 x 991 ) / 357751

GCD(361, 991) = 357751 / 357751

GCD(361, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

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

GCD of 361, 991, 706, 819 is 1

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1. What is the GCD of 361, 991, 706, 819?

GCD of 361, 991, 706, 819 is 1

2. Where do I get the detailed procedure to find GCD of 361, 991, 706, 819?

You can find a detailed procedure to find GCD of 361, 991, 706, 819 on our page.

3. How to find GCD of 361, 991, 706, 819 on a calculator?

You can find the GCD of 361, 991, 706, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.