GCD of 195, 991, 693, 459 Calculator

Given Input numbers are 195, 991, 693, 459

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 991

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

1, 991

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 195, 991, 693, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 991, 693, 459 is 1.

Therefore, GCD of numbers 195, 991, 693, 459 is 1

Given Input Data is 195, 991, 693, 459

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 991 is 991

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(195, 991) = 193245

GCD(195, 991) = ( 195 x 991 ) / 193245

GCD(195, 991) = 193245 / 193245

GCD(195, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 195, 991, 693, 459 is 1

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1. What is the GCD of 195, 991, 693, 459?

GCD of 195, 991, 693, 459 is 1

2. Where do I get the detailed procedure to find GCD of 195, 991, 693, 459?

You can find a detailed procedure to find GCD of 195, 991, 693, 459 on our page.

3. How to find GCD of 195, 991, 693, 459 on a calculator?

You can find the GCD of 195, 991, 693, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.