GCD of 231, 205, 497, 991 Calculator

Given Input numbers are 231, 205, 497, 991

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 231, 205, 497, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 205, 497, 991 is 1.

Therefore, GCD of numbers 231, 205, 497, 991 is 1

Given Input Data is 231, 205, 497, 991

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 497 is 7 x 71

Prime Factorization of 991 is 991

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(231, 205) = 47355

GCD(231, 205) = ( 231 x 205 ) / 47355

GCD(231, 205) = 47355 / 47355

GCD(231, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 231, 205, 497, 991 is 1

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1. What is the GCD of 231, 205, 497, 991?

GCD of 231, 205, 497, 991 is 1

2. Where do I get the detailed procedure to find GCD of 231, 205, 497, 991?

You can find a detailed procedure to find GCD of 231, 205, 497, 991 on our page.

3. How to find GCD of 231, 205, 497, 991 on a calculator?

You can find the GCD of 231, 205, 497, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.