GCD of 232, 946, 18, 203 Calculator

Given Input numbers are 232, 946, 18, 203

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 203

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

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 232, 946, 18, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 946, 18, 203 is 1.

Therefore, GCD of numbers 232, 946, 18, 203 is 1

Given Input Data is 232, 946, 18, 203

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 203 is 7 x 29

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(232, 946) = 109736

GCD(232, 946) = ( 232 x 946 ) / 109736

GCD(232, 946) = 219472 / 109736

GCD(232, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

GCD of 232, 946, 18, 203 is 1

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1. What is the GCD of 232, 946, 18, 203?

GCD of 232, 946, 18, 203 is 1

2. Where do I get the detailed procedure to find GCD of 232, 946, 18, 203?

You can find a detailed procedure to find GCD of 232, 946, 18, 203 on our page.

3. How to find GCD of 232, 946, 18, 203 on a calculator?

You can find the GCD of 232, 946, 18, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.