GCD of 696, 909, 65, 891 Calculator

Given Input numbers are 696, 909, 65, 891

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 696, 909, 65, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 909, 65, 891 is 1.

Therefore, GCD of numbers 696, 909, 65, 891 is 1

Given Input Data is 696, 909, 65, 891

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 65 is 5 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 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(696, 909) = 210888

GCD(696, 909) = ( 696 x 909 ) / 210888

GCD(696, 909) = 632664 / 210888

GCD(696, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 696, 909, 65, 891 is 1

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1. What is the GCD of 696, 909, 65, 891?

GCD of 696, 909, 65, 891 is 1

2. Where do I get the detailed procedure to find GCD of 696, 909, 65, 891?

You can find a detailed procedure to find GCD of 696, 909, 65, 891 on our page.

3. How to find GCD of 696, 909, 65, 891 on a calculator?

You can find the GCD of 696, 909, 65, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.