GCD of 691, 513, 819, 766 Calculator

Given Input numbers are 691, 513, 819, 766

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

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 691, 513, 819, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 513, 819, 766 is 1.

Therefore, GCD of numbers 691, 513, 819, 766 is 1

Given Input Data is 691, 513, 819, 766

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

Prime Factorization of 691 is 691

Prime Factorization of 513 is 3 x 3 x 3 x 19

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

Prime Factorization of 766 is 2 x 383

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(691, 513) = 354483

GCD(691, 513) = ( 691 x 513 ) / 354483

GCD(691, 513) = 354483 / 354483

GCD(691, 513) = 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 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 691, 513, 819, 766 is 1

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1. What is the GCD of 691, 513, 819, 766?

GCD of 691, 513, 819, 766 is 1

2. Where do I get the detailed procedure to find GCD of 691, 513, 819, 766?

You can find a detailed procedure to find GCD of 691, 513, 819, 766 on our page.

3. How to find GCD of 691, 513, 819, 766 on a calculator?

You can find the GCD of 691, 513, 819, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.