GCD of 899, 660, 691, 817 Calculator

Given Input numbers are 899, 660, 691, 817

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 691

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

1, 691

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 899, 660, 691, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 660, 691, 817 is 1.

Therefore, GCD of numbers 899, 660, 691, 817 is 1

Given Input Data is 899, 660, 691, 817

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 691 is 691

Prime Factorization of 817 is 19 x 43

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(899, 660) = 593340

GCD(899, 660) = ( 899 x 660 ) / 593340

GCD(899, 660) = 593340 / 593340

GCD(899, 660) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 899, 660, 691, 817 is 1

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1. What is the GCD of 899, 660, 691, 817?

GCD of 899, 660, 691, 817 is 1

2. Where do I get the detailed procedure to find GCD of 899, 660, 691, 817?

You can find a detailed procedure to find GCD of 899, 660, 691, 817 on our page.

3. How to find GCD of 899, 660, 691, 817 on a calculator?

You can find the GCD of 899, 660, 691, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.