GCD of 943, 299, 198 Calculator

Given Input numbers are 943, 299, 198

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

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 943, 299, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 299, 198 is 1.

Therefore, GCD of numbers 943, 299, 198 is 1

Given Input Data is 943, 299, 198

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 299 is 13 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(943, 299) = 12259

GCD(943, 299) = ( 943 x 299 ) / 12259

GCD(943, 299) = 281957 / 12259

GCD(943, 299) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 198

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

LCM(23, 198) = 4554

GCD(23, 198) = ( 23 x 198 ) / 4554

GCD(23, 198) = 4554 / 4554

GCD(23, 198) = 1

GCD of 943, 299, 198 is 1

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1. What is the GCD of 943, 299, 198?

GCD of 943, 299, 198 is 1

2. Where do I get the detailed procedure to find GCD of 943, 299, 198?

You can find a detailed procedure to find GCD of 943, 299, 198 on our page.

3. How to find GCD of 943, 299, 198 on a calculator?

You can find the GCD of 943, 299, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.