GCD of 966, 203, 973, 113 Calculator

Given Input numbers are 966, 203, 973, 113

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 966, 203, 973, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 203, 973, 113 is 1.

Therefore, GCD of numbers 966, 203, 973, 113 is 1

Given Input Data is 966, 203, 973, 113

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 203 is 7 x 29

Prime Factorization of 973 is 7 x 139

Prime Factorization of 113 is 113

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(966, 203) = 28014

GCD(966, 203) = ( 966 x 203 ) / 28014

GCD(966, 203) = 196098 / 28014

GCD(966, 203) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 973

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

LCM(7, 973) = 973

GCD(7, 973) = ( 7 x 973 ) / 973

GCD(7, 973) = 6811 / 973

GCD(7, 973) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 113

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

LCM(7, 113) = 791

GCD(7, 113) = ( 7 x 113 ) / 791

GCD(7, 113) = 791 / 791

GCD(7, 113) = 1

GCD of 966, 203, 973, 113 is 1

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1. What is the GCD of 966, 203, 973, 113?

GCD of 966, 203, 973, 113 is 1

2. Where do I get the detailed procedure to find GCD of 966, 203, 973, 113?

You can find a detailed procedure to find GCD of 966, 203, 973, 113 on our page.

3. How to find GCD of 966, 203, 973, 113 on a calculator?

You can find the GCD of 966, 203, 973, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.