GCD of 963, 231, 51, 206 Calculator

Given Input numbers are 963, 231, 51, 206

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 963, 231, 51, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 231, 51, 206 is 1.

Therefore, GCD of numbers 963, 231, 51, 206 is 1

Given Input Data is 963, 231, 51, 206

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 206 is 2 x 103

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(963, 231) = 74151

GCD(963, 231) = ( 963 x 231 ) / 74151

GCD(963, 231) = 222453 / 74151

GCD(963, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 206

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

LCM(3, 206) = 618

GCD(3, 206) = ( 3 x 206 ) / 618

GCD(3, 206) = 618 / 618

GCD(3, 206) = 1

GCD of 963, 231, 51, 206 is 1

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1. What is the GCD of 963, 231, 51, 206?

GCD of 963, 231, 51, 206 is 1

2. Where do I get the detailed procedure to find GCD of 963, 231, 51, 206?

You can find a detailed procedure to find GCD of 963, 231, 51, 206 on our page.

3. How to find GCD of 963, 231, 51, 206 on a calculator?

You can find the GCD of 963, 231, 51, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.