GCD of 663, 208, 91, 295 Calculator

Given Input numbers are 663, 208, 91, 295

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 663, 208, 91, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 208, 91, 295 is 1.

Therefore, GCD of numbers 663, 208, 91, 295 is 1

Given Input Data is 663, 208, 91, 295

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 91 is 7 x 13

Prime Factorization of 295 is 5 x 59

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(663, 208) = 10608

GCD(663, 208) = ( 663 x 208 ) / 10608

GCD(663, 208) = 137904 / 10608

GCD(663, 208) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 91

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

LCM(13, 91) = 91

GCD(13, 91) = ( 13 x 91 ) / 91

GCD(13, 91) = 1183 / 91

GCD(13, 91) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 295

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

LCM(13, 295) = 3835

GCD(13, 295) = ( 13 x 295 ) / 3835

GCD(13, 295) = 3835 / 3835

GCD(13, 295) = 1

GCD of 663, 208, 91, 295 is 1

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1. What is the GCD of 663, 208, 91, 295?

GCD of 663, 208, 91, 295 is 1

2. Where do I get the detailed procedure to find GCD of 663, 208, 91, 295?

You can find a detailed procedure to find GCD of 663, 208, 91, 295 on our page.

3. How to find GCD of 663, 208, 91, 295 on a calculator?

You can find the GCD of 663, 208, 91, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.